NAMANGAN MATHEMATICS 2 (2025-2026) UZ (2)

Agar 𝑓(𝑥) = 𝑥7 −√𝑥, 𝑓′(𝑥)−?

7𝑥− 1 2√𝑥
7𝑥6 −2√𝑥
7𝑥6 − 1 2√𝑥
7 − 1 2√𝑥

Javobni ko'rish

7𝑥6 − 1 2√𝑥

𝑦= 5𝑥𝑠𝑖𝑛𝑥, 𝑦′−?

9𝑐𝑜𝑠𝑥+ 𝑥𝑠𝑖𝑛𝑥
𝑥−4 + 2 𝑠𝑖𝑛𝑥
−12 + 2 𝑠𝑖𝑛𝑥
5 𝑠𝑖𝑛𝑥+ 5𝑥𝑐𝑜𝑠𝑥

Javobni ko'rish

5 𝑠𝑖𝑛𝑥+ 5𝑥𝑐𝑜𝑠𝑥

Funksiya o‘sish va kamayish oraliqlarini toping. 𝑓(𝑥) = 8 −2𝑥4

(−∞; 0) -o‘suvchi, (0; +∞) -kamayuvchi.
(−∞; 2) -o‘suvchi, (2; +∞) -kamayuvchi.
(−∞; −2) -o‘suvchi, (2; +∞) kamayuvchi.
(−∞; 0) -kamayuvchi, (0; +∞) -o‘suvchi.

Javobni ko'rish

(−∞; 0) -o‘suvchi, (0; +∞) -kamayuvchi.

Aniqmas integralni toping. ∫83𝑥𝑑𝑥

3 8 83𝑥
1 𝑙𝑛8 ⋅83𝑥
1 3 𝑙𝑛8 ⋅83𝑥
1 8 ⋅83𝑥

Javobni ko'rish

1 𝑙𝑛8 ⋅83𝑥

Aniqmas integralni toping. ∫𝑐𝑜𝑠√12 𝑥𝑑𝑥

− 1 √12 𝑐𝑜𝑠√12 𝑥
𝑐𝑜𝑠√12 𝑥
−𝑠𝑖𝑛√12 𝑥
1 √12 𝑠𝑖𝑛√12 𝑥

Javobni ko'rish

1 √12 𝑠𝑖𝑛√12 𝑥

Aniqmas integralni toping. ∫ 1 𝑐𝑜𝑠2 19𝑥𝑑𝑥

𝑡𝑔19𝑥
𝑐𝑡𝑔19𝑥
1 19 𝑡𝑔19𝑥
19𝑡𝑔19𝑥

Javobni ko'rish

1 19 𝑡𝑔19𝑥

Aniqmas integralni toping. ∫ d𝑥 1+13𝑥2

𝑎𝑟𝑐𝑡𝑔√13𝑥
− 1 √13 𝑎𝑟𝑐𝑡𝑔𝑥
1 √13 𝑎𝑟𝑐𝑡𝑔√13𝑥
−𝑎𝑟𝑐𝑡𝑔13𝑥

Javobni ko'rish

1 √13 𝑎𝑟𝑐𝑡𝑔√13𝑥

Integralni toping. ∫ d𝑥 √1−225𝑥2

− 1 25 𝑎𝑟𝑐𝑠𝑖𝑛25 𝑥
1 15 𝑎𝑟𝑐𝑠𝑖𝑛15 𝑥
−𝑎𝑟𝑐𝑠𝑖𝑛15 𝑥
𝑎𝑟𝑐𝑠𝑖𝑛25 𝑥

Javobni ko'rish

1 15 𝑎𝑟𝑐𝑠𝑖𝑛15 𝑥

Aniqmas integralni toping. ∫ d𝑥 14𝑥−3

1 14 𝑙𝑛|14𝑥−3|
−𝑙𝑛|14𝑥−3|
𝑙𝑛|14𝑥−3|
− 1 5 𝑙𝑛|14𝑥−3|

Javobni ko'rish

1 14 𝑙𝑛|14𝑥−3|

#10

Integralni hisoblang. ∫2𝑥𝑑𝑥 6 3

Javobni ko'rish

#11

𝑦= 7𝑥𝑠𝑖𝑛𝑥, 𝑦′−?

𝑐𝑜𝑠𝑥+ 7𝑥𝑠𝑖𝑛𝑥
7 𝑠𝑖𝑛𝑥+ 7𝑥𝑐𝑜𝑠𝑥
7𝑥+ 7 𝑠𝑖𝑛𝑥
−7 + 7 𝑠𝑖𝑛𝑥

Javobni ko'rish

7 𝑠𝑖𝑛𝑥+ 7𝑥𝑐𝑜𝑠𝑥

#12

Agar 𝑓(𝑥) = 𝑥8 −√𝑥, 𝑓′(𝑥)−?

8𝑥− 1 2√𝑥
8𝑥7 − 1 2√𝑥
8𝑥6 −2√𝑥
8 − 1 2√𝑥

Javobni ko'rish

8𝑥7 − 1 2√𝑥

#13

Integralni hisoblang. ∫ 1 𝑐𝑜𝑠2 𝑥𝑑𝑥 3𝜋 4 0

−1
0
1 2
− 1 2

Javobni ko'rish

#14

Integralni hisoblang. ∫2𝑥𝑑𝑥 5 2

Javobni ko'rish

#15

Agar 𝑓(𝑥) = 𝑥7 −𝑠𝑖𝑛𝑥, 𝑓′′(𝑥)−?

7𝑥6 + 𝑠𝑖𝑛𝑥
42𝑥5 + 𝑠𝑖𝑛𝑥
7𝑥+ 𝑠𝑖𝑛𝑥
7 + 𝑠𝑖𝑛𝑥

Javobni ko'rish

7 + 𝑠𝑖𝑛𝑥

#16

Aniqmas integralni toping. ∫46𝑥𝑑𝑥

4𝑥
1 6𝑙𝑛4 ⋅46𝑥
1 2 ∙4𝑥
1 24 ⋅46𝑥

Javobni ko'rish

1 24 ⋅46𝑥

#17

Aniqmas integralni toping. ∫𝑐𝑜𝑠√23 𝑥𝑑𝑥

𝑐𝑜𝑠√23 𝑥
1 √23 𝑠𝑖𝑛√23 𝑥
−𝑠𝑖𝑛√23 𝑥
− 1 √23 𝑐𝑜𝑠√23 𝑥

Javobni ko'rish

1 √23 𝑠𝑖𝑛√23 𝑥

#18

Aniqmas integralni toping. ∫ 1 𝑐𝑜𝑠2 38𝑥𝑑𝑥

𝑐𝑡𝑔38𝑥
𝑡𝑔38𝑥
1 38 𝑡𝑔38𝑥
38𝑡𝑔38𝑥

Javobni ko'rish

1 38 𝑡𝑔38𝑥

#19

Aniqmas integralni toping. ∫ d𝑥 1+17𝑥2

1 √17 𝑎𝑟𝑐𝑡𝑔√17𝑥
−𝑎𝑟𝑐𝑡𝑔17𝑥
− 1 √17 𝑎𝑟𝑐𝑡𝑔𝑥
𝑎𝑟𝑐𝑡𝑔√17𝑥

Javobni ko'rish

1 √17 𝑎𝑟𝑐𝑡𝑔√17𝑥

#20

Aniqmas integralni toping. ∫ d𝑥 √1−256𝑥2

𝑎𝑟𝑐𝑠𝑖𝑛20 𝑥
−𝑎𝑟𝑐𝑠𝑖𝑛20 𝑥
− 1 16 𝑎𝑟𝑐𝑠𝑖𝑛15 𝑥
1 16 𝑎𝑟𝑐𝑠𝑖𝑛16 𝑥

Javobni ko'rish

1 16 𝑎𝑟𝑐𝑠𝑖𝑛16 𝑥

#21

Aniqmas integralni toping. ∫ d𝑥 18𝑥−7

𝑙𝑛|18𝑥−7|
1 18 𝑙𝑛|18𝑥−7|
−𝑙𝑛|18𝑥−7|
− 1 18 𝑙𝑛|18𝑥−7|

Javobni ko'rish

1 18 𝑙𝑛|18𝑥−7|

#22

Integralni hisoblang. ∫4𝑥3𝑑𝑥 3 2

Javobni ko'rish

#23

Integralni hisoblang. ∫ 1 √4−𝑥2 𝑑𝑥 1 0

𝜋 3
− 𝜋 6
− 𝜋 3
𝜋 6

Javobni ko'rish

𝜋 6

#24

Integralni hisoblang. ∫4𝑥3𝑑𝑥 2 1

Javobni ko'rish

#25

Funksiya o‘sish va kamayish oraliqlarini toping. 𝑓(𝑥) = 4 −𝑥4

(−∞; 2) -o‘suvchi, (2; +∞) -kamayuvchi.
(−∞; −2) -o‘suvchi, (2; +∞) -kamayuvchi.
(−∞; 0) -o‘suvchi, (0; +∞) -kamayuvchi.
(−∞; 0) -kamayuvchi, (0; +∞) -o‘suvchi.

Javobni ko'rish

(−∞; 0) -o‘suvchi, (0; +∞) -kamayuvchi.

#26

Aniqmas integralni toping. ∫243𝑥𝑑𝑥

1 24 ⋅243𝑥
1 𝑙𝑛24 ⋅243𝑥
3 24 243𝑥
1 3 𝑙𝑛24 ⋅243𝑥

Javobni ko'rish

1 24 ⋅243𝑥

#27

Aniqmas integralni toping. ∫𝑐𝑜𝑠√19 𝑥𝑑𝑥

1 √19 𝑠𝑖𝑛√19 𝑥
−𝑠𝑖𝑛√19 𝑥
− 1 √19 𝑐𝑜𝑠√19 𝑥
𝑐𝑜𝑠√19 𝑥

Javobni ko'rish

1 √19 𝑠𝑖𝑛√19 𝑥

#28

Aniqmas integralni toping. ∫ 1 𝑐𝑜𝑠2 13𝑥𝑑𝑥

𝑐𝑡𝑔13𝑥
𝑡𝑔13𝑥
13𝑡𝑔13𝑥
1 13 𝑡𝑔13𝑥

Javobni ko'rish

1 13 𝑡𝑔13𝑥

#29

Aniqmas integralni toping. ∫ d𝑥 1+21𝑥2

−𝑎𝑟𝑐𝑡𝑔21𝑥
1 √21 𝑎𝑟𝑐𝑡𝑔√21𝑥
− 1 √21 𝑎𝑟𝑐𝑡𝑔𝑥
𝑎𝑟𝑐𝑡𝑔√21𝑥

Javobni ko'rish

1 √21 𝑎𝑟𝑐𝑡𝑔√21𝑥

#30

Aniqmas integralni toping. ∫ d𝑥 √1−121𝑥2

1 11 𝑎𝑟𝑐𝑠𝑖𝑛11 𝑥
−𝑎𝑟𝑐𝑠𝑖𝑛11 𝑥
𝑎𝑟𝑐𝑠𝑖𝑛11 𝑥
− 1 11 𝑎𝑟𝑐𝑠𝑖𝑛11 𝑥

Javobni ko'rish

1 11 𝑎𝑟𝑐𝑠𝑖𝑛11 𝑥

#31

Aniqmas integralni toping. ∫ 𝑑𝑥 23𝑥−5

=𝑙𝑛|23𝑥−5|
=−𝑙𝑛|23𝑥−5|
=− 1 5 𝑙𝑛|23𝑥−5|
= 1 23 𝑙𝑛|23𝑥−5|

Javobni ko'rish

= 1 23 𝑙𝑛|23𝑥−5|

#32

Integralni hisoblang. ∫2𝑥𝑑𝑥 5 2

Javobni ko'rish

=36

#33

Integralni hisoblang. ∫ 1 𝑐𝑜𝑠2 𝑥𝑑𝑥 𝜋 4 0

=0
=− 1 2
= 1 2
=1

Javobni ko'rish

#34

Integralni hisoblang. ∫2𝑥𝑑𝑥 4 1

Javobni ko'rish

=15

#35

Aniqmas integralni toping. ∫2𝑥𝑑𝑥

= 1 𝑙𝑛2 ⋅2𝑥
= 1 24 ⋅23𝑥
=2𝑥
= 1 2 ∙2𝑥

Javobni ko'rish

= 1 2 ∙2𝑥

#36

Aniqmas integralni toping. ∫𝑐𝑜𝑠√31 𝑥𝑑𝑥

=− 1 √31 𝑐𝑜𝑠√21 𝑥
=𝑐𝑜𝑠√31 𝑥
=−𝑠𝑖𝑛√31 𝑥
= 1 √31 𝑠𝑖𝑛√31 𝑥

Javobni ko'rish

= 1 √31 𝑠𝑖𝑛√31 𝑥

#37

Aniqmas integralni toping. ∫ 1 𝑐𝑜𝑠2 47𝑥𝑑𝑥

=𝑐𝑡𝑔47𝑥
= 1 47 𝑡𝑔47𝑥
=𝑡𝑔47𝑥
=47𝑡𝑔47𝑥

Javobni ko'rish

= 1 47 𝑡𝑔47𝑥

#38

Aniqmas integralni toping. ∫ 𝑑𝑥 1+43𝑥2

=−𝑎𝑟𝑐𝑡𝑔43𝑥
= 1 √43 𝑎𝑟𝑐𝑡𝑔√43𝑥
=𝑎𝑟𝑐𝑡𝑔√43𝑥
=− 1 √43 𝑎𝑟𝑐𝑡𝑔𝑥

Javobni ko'rish

= 1 √43 𝑎𝑟𝑐𝑡𝑔√43𝑥

#39

Aniqmas integralni toping. ∫ 𝑑𝑥 √1−400𝑥2

= 1 20 𝑎𝑟𝑐𝑠𝑖𝑛20 𝑥
=−𝑎𝑟𝑐𝑠𝑖𝑛20 𝑥
=− 1 5 𝑎𝑟𝑐𝑠𝑖𝑛25 𝑥
=𝑎𝑟𝑐𝑠𝑖𝑛20 𝑥

Javobni ko'rish

= 1 20 𝑎𝑟𝑐𝑠𝑖𝑛20 𝑥

#40

Aniqmas integralni toping. ∫ 𝑑𝑥 49𝑥−12

=− 1 5 𝑙𝑛|49𝑥−12|
=𝑙𝑛|49𝑥−12|
= 1 49 𝑙𝑛|49𝑥−12|
=−𝑙𝑛|49𝑥−12|

Javobni ko'rish

= 1 49 𝑙𝑛|49𝑥−12|

#41

Integralni hisoblang. ∫3𝑥2𝑑𝑥 4 3

Javobni ko'rish

=27

#42

Integralni hisoblang. ∫ 1 𝑐𝑜𝑠22 𝑥𝑑𝑥 𝜋 8 0

=0
=1
= 1 2
=− 1 2

Javobni ko'rish

#43

Integralni hisoblang. ∫2𝑥𝑑𝑥 7 2

Javobni ko'rish

=45

#44

Aniqmas integralni toping. ∫175𝑥𝑑𝑥

= 1 17 ⋅173𝑥
= 3 24 173𝑥
= 1 5 𝑙𝑛17 ⋅175𝑥
= 1 𝑙𝑛17 ⋅175𝑥

Javobni ko'rish

= 1 𝑙𝑛17 ⋅175𝑥

#45

Aniqmas integralni toping. ∫𝑐𝑜𝑠√37 𝑥𝑑𝑥

=𝑐𝑜𝑠37 𝑥
=− 1 √37 𝑐𝑜𝑠√37 𝑥
= 1 √37 𝑠𝑖𝑛√37 𝑥
=−𝑠𝑖𝑛√37 𝑥

Javobni ko'rish

= 1 √37 𝑠𝑖𝑛√37 𝑥

#46

Aniqmas integralni toping. ∫ 1 𝑐𝑜𝑠2 53𝑥𝑑𝑥

=𝑡𝑔53𝑥
=𝑐𝑡𝑔53𝑥
= 1 53 𝑡𝑔53𝑥
=53𝑡𝑔53𝑥

Javobni ko'rish

= 1 53 𝑡𝑔53𝑥

#47

Aniqmas integralni toping. ∫ 𝑑𝑥 1=45𝑥2

=−𝑎𝑟𝑐𝑡𝑔45𝑥
= 1 √45 𝑎𝑟𝑐𝑡𝑔√45𝑥
=𝑎𝑟𝑐𝑡𝑔√45𝑥
=− 1 √45 𝑎𝑟𝑐𝑡𝑔𝑥

Javobni ko'rish

= 1 √45 𝑎𝑟𝑐𝑡𝑔√45𝑥

#48

Aniqmas integralni toping. ∫ 𝑑𝑥 √1−900𝑥2

=− 1 30 𝑎𝑟𝑐𝑠𝑖𝑛3 𝑥
=𝑎𝑟𝑐𝑠𝑖𝑛30 𝑥
=−𝑎𝑟𝑐𝑠𝑖𝑛30 𝑥
= 1 30 𝑎𝑟𝑐𝑠𝑖𝑛30 𝑥

Javobni ko'rish

= 1 30 𝑎𝑟𝑐𝑠𝑖𝑛30 𝑥

#49

Aniqmas integralni toping. ∫ 𝑑𝑥 58𝑥−7

=−𝑙𝑛|58𝑥−7|
=− 1 7 𝑙𝑛|58𝑥−7|
=𝑙𝑛|58𝑥−7|
= 1 58 𝑙𝑛|58𝑥−7|

Javobni ko'rish

= 1 58 𝑙𝑛|58𝑥−7|

#50

Integralni hisoblang. ∫3𝑥2𝑑𝑥 4 1

Javobni ko'rish

=53

#51

Aniqmas integralni toping. ∫35𝑥𝑑𝑥

= 3 𝑙𝑛3 35𝑥
= 1 5 𝑙𝑛3 ⋅35𝑥
= 1 3 𝑙𝑛5 ⋅35𝑥
= 1 3 𝑙𝑛3 ⋅35𝑥

Javobni ko'rish

= 1 3 𝑙𝑛3 ⋅35𝑥

#52

Aniqmas integralni toping. ∫𝑐𝑜𝑠√2 𝑥𝑑𝑥

=𝑐𝑜𝑠√2 𝑥
= 1 √2 𝑠𝑖𝑛√2 𝑥
=− 1 √2 𝑐𝑜𝑠√2 𝑥
=−𝑠𝑖𝑛√2 𝑥

Javobni ko'rish

= 1 √2 𝑠𝑖𝑛√2 𝑥

#53

Aniqmas integralni toping. ∫ 1 𝑐𝑜𝑠2 3𝑥𝑑𝑥

= 1 3 𝑡𝑔3𝑥
=𝑡𝑔3𝑥
=𝑐𝑡𝑔3𝑥
=3𝑡𝑔3𝑥

Javobni ko'rish

= 1 3 𝑡𝑔3𝑥

#54

Aniqmas integralni toping. ∫ 𝑑𝑥 1+9𝑥2

=−𝑎𝑟𝑐𝑡𝑔3𝑥
=− 1 3 𝑎𝑟𝑐𝑡𝑔3𝑥
=𝑎𝑟𝑐𝑡𝑔3𝑥
= 1 3 𝑎𝑟𝑐𝑡𝑔3𝑥

Javobni ko'rish

= 1 3 𝑎𝑟𝑐𝑡𝑔3𝑥

#55

Aniqmas integralni toping. ∫ 𝑑𝑥 √1−9𝑥2

= 1 3 𝑎𝑟𝑐𝑠𝑖𝑛3 𝑥
=𝑎𝑟𝑐𝑠𝑖𝑛3 𝑥
=−𝑎𝑟𝑐𝑠𝑖𝑛3 𝑥
=− 1 3 𝑎𝑟𝑐𝑠𝑖𝑛3 𝑥

Javobni ko'rish

= 1 3 𝑎𝑟𝑐𝑠𝑖𝑛3 𝑥

#56

Aniqmas integralni toping. ∫ 𝑑𝑥 2𝑥−1

=−𝑙𝑛|2𝑥−1|
=𝑙𝑛|2𝑥−1|
=− 1 2 𝑙𝑛|2𝑥−1|
= 1 2 𝑙𝑛|2𝑥−1|

Javobni ko'rish

=𝑙𝑛|2𝑥−1|

#57

Integralni hisoblang. ∫√𝑥5 3 𝑑𝑥 8 0

Javobni ko'rish

=90

#58

Integralni hisoblang. ∫ 1 𝑐𝑜𝑠2 3𝑥𝑑𝑥 𝜋 𝜋 12

= 1 12
=− 1 12
= 1 3
=− 1 3

Javobni ko'rish

= 1 3

#59

Berilgan egri chiziqlar bilan chegaralangan yuzani toping. 𝑦= 𝑥+ 2 va 𝑦= 𝑥2 −4.

= 125 6
= 139 2
= 139 6
= 139 3

Javobni ko'rish

= 139 6

#60

Funksiya o‘sish va kamayish oraliqlarini toping. 𝑓(𝑥) = (𝑥−1)2

=(−∞; −2) -o‘suvchi, (2; +∞) -kamayuvchi,
=(−∞; 1) -kamayuvchi, (1; +∞) -o‘suvchi,
=(−∞; 1) -o‘suvchi, (1; +∞) -kamayuvchi,
=(−∞; 2) -o‘suvchi, (2; +∞) -kamayuvchi,

Javobni ko'rish

=(−∞; 1) -kamayuvchi, (1; +∞) -o‘suvchi,

#61

Aniqmas integralni toping. ∫42𝑥𝑑𝑥

1/2 ln(2) * 42x
1/2 ln(4) * 42x
1/4 ln(2) * 42x
2 ln(2) 42x

Javobni ko'rish

1/2 ln(2) * 42x

#62

Aniqmas integralni toping. ∫sin(√2 x)dx

cos(√2 x)
1/√2 cos(√2 x)
1/√2 cos(√2 x)
cos(√2 x)

Javobni ko'rish

1/√2 cos(√2 x)

#63

Aniqmas integralni toping. ∫(1/sin^2(3x))dx

1/3 ctg(3x)
3 tg(3x)
1/3 tg(3x)
ctg(3x)

Javobni ko'rish

1/3 ctg(3x)

#64

Integralni toping. ∫(dx / (1+4x^2))

arctg(2x)
arctg(4x)
1/2 arctg(2x)
1/4 arctg(2x)

Javobni ko'rish

1/2 arctg(2x)

#65

Aniqmas integralni toping: ∫(dx / √(1-4x^2))

1/4 arcsin(4x)
arcsin(2x)
arcsin(4x)
1/2 arcsin(2x)

Javobni ko'rish

1/2 arcsin(2x)

#66

Aniqmas integralni toping. ∫(dx / (5x-2))

1/5 ln|5x-2|
1/5 ln|5x-2|
ln|5x-2|
ln|5x-2|

Javobni ko'rish

1/5 ln|5x-2|

#67

Integralni hisoblang. ∫(√x^7 / 4) dx from 0 to 16

8190/11
8194/11
8192/11
8196/11

Javobni ko'rish

8192/11

#68

Integralni hisoblang. ∫(1/sin^2(3x))dx from π/6 to π/12

Javobni ko'rish

1/3

#69

Berilgan egri chiziqlar bilan chegaralangan yuzani toping. y= -x^2 + 4x va y= x^2 -2x

Javobni ko'rish

#70

Funksiya o‘sish va kamayish oraliqlarini toping. f(x) = x^3 + 4x

(-∞; +∞)-o‘suvchi.
(-∞; 1) -kamayuvchi, (1; +∞) -o‘suvchi.
(-∞; 1) -o‘suvchi, (1; +∞) -kamayuvchi.
(-∞; +∞)-kamayuvchi.

Javobni ko'rish

(-∞; +∞)-o‘suvchi.

#71

Aniqmas integralni toping. ∫5^(2x)dx

2/ln(2) * 5^(2x)
1/5 ln(2) * 5^(2x)
1/2 ln(5) * 5^(2x)
1/2 ln(2) * 5^(2x)

Javobni ko'rish

1/2 ln(5) * 5^(2x)

#72

Aniqmas integralni toping. ∫sin(√5 x)dx

1/√5 cos(√5 x)
1/√5 cos(√5 x)
cos(√5 x)
cos(√5 x)

Javobni ko'rish

1/√5 cos(√5 x)

#73

Aniqmas integralni toping. ∫(1/sin^2(4x))dx

ctg(4x)
1/4 tg(4x)
1/4 ctg(4x)
4 tg(4x)

Javobni ko'rish

1/4 ctg(4x)

#74

Aniqmas integralni toping. ∫(dx / (1+16x^2))

1/4 arctg(4x)
arctg(4x)
1/4 arctg(4x)
arctg(4x)

Javobni ko'rish

1/4 arctg(4x)

#75

Aniqmas integralni toping. ∫(dx / √(1-16x^2))

1/4 arcsin(4x)
arcsin(4x)
1/4 arcsin(4x)
arcsin(4x)

Javobni ko'rish

1/4 arcsin(4x)

#76

Aniqmas integralni toping. ∫(dx / (15x-22))

1/15 ln|15x-22|
ln(5x-22)
1/5 ln(5x-22)
ln(5x-22)

Javobni ko'rish

1/15 ln|15x-22|

#77

Integralni hisoblang. ∫√(x+1) dx from 0 to 3

14/3
13/3
11/3
10/3

Javobni ko'rish

13/3

#78

Integralni hisoblang. ∫(dx / √(1-4x^2)) from 0 to 1/2

π/2
π/3
π/6
π/4

Javobni ko'rish

π/6

#79

Berilgan egri chiziqlar bilan chegaralangan yuzani toping. y= 6/(x^2+1) va y= 3x^2

3π - 2
2π + 3
2π - 3
3π + 2

Javobni ko'rish

2π - 3

#80

Funksiyaning qavariq va botiq oraliqlarini toping. f(x) = -x^4 -2x^3 + 12x^2

(-∞; -0.5) -botiq, (0.5; +∞) -qavariq.
(-∞; -2) ∪(2; +∞) -botiq, (−2; 2) -qavariq.
(-∞; -2) ∪(1; +∞) - qavariq. (−2;1) - botiq.
(-∞; -2) ∪(1; +∞) -botiq. (−2; 1) -qavariq.

Javobni ko'rish

(-∞; -2) ∪(1; +∞) - qavariq. (−2;1) - botiq.

#81

Aniqmas integralni toping. ∫19^(2x)dx

1/(19)ln(2) * 19^(2x) + 1/2 ln(19) * 19^(2x)
1/2 ln(2) * 19^(2x)
2/ln(2) * 19^(2x)
1/2 ln(19) * 19^(2x)

Javobni ko'rish

1/2 ln(19) * 19^(2x)

#82

Aniqmas integralni toping. ∫sin(√33 x)dx

1/√33 cos(√33 x)
sin(√33 x)
sin(√33 x)
1/√33 cos(√33 x)

Javobni ko'rish

1/√33 cos(√33 x)

#83

Aniqmas integralni toping. ∫(1/cos^2(25x))dx

25 tg(25x)
1/25 tg(25x)
tg(25x)
1/25 tg(25x)

Javobni ko'rish

1/25 tg(25x)

#84

Aniqmas integralni toping: ∫(dx / (1+121x^2))

arctg(11x)
arctg(11x)
1/11 arctg(11x)
1/11 arctg(11x)

Javobni ko'rish

1/11 arctg(11x)

#85

Aniqmas integralni toping: ∫(dx / √(1-121x^2))

arcsin(11x)
1/11 arcsin(11x)
1/11 arcsin(11x)
arcsin(11x)

Javobni ko'rish

1/11 arcsin(11x)

#86

Aniqmas integralni toping: ∫(dx / (5x-3))

1/5 ln|5x-3|
ln|5x-3|
1/5 ln|5x-3|
ln|5x-3|

Javobni ko'rish

1/5 ln|5x-3|

#87

Integralni hisoblang: ∫sin^3(x)dx from 0 to π/6

√12
1/6
1/3
√6

Javobni ko'rish

1/3

#88

Funksiya o‘sish va kamayish oraliqlarini toping. f(x) = 12 + x-x^2

(-∞; 0.5) -kamayuvchi, (0.5;+∞) -o‘suvchi.
(-∞; 2) -o‘suvchi, (2; +∞) -kamayuvchi.
(-∞; -2) -o‘suvchi, (2; +∞) -kamayuvchi.
(-∞; 0.5) -o‘suvchi, (0.5; +∞) -kamayuvchi.

Javobni ko'rish

(-∞; 0.5) -o‘suvchi, (0.5; +∞) -kamayuvchi.

#89

Aniqmas integralni toping: ∫72𝑥𝑑𝑥;

1/(7 ln(2)) * 72x
2 ln(2) * 72x
1/(2 ln(7)) * 72x
1/(2 ln(2)) * 72x

Javobni ko'rish

1/(2 ln(2)) * 72x

#90

Aniqmas integralni toping: ∫512𝑥𝑑𝑥;

1/ln(12) * 5^(12x)
1/(2 ln(12)) * 5^(2x)
1/(12 ln(5)) * 5^(12x)
12/ln(5) * 5^(12x)

Javobni ko'rish

1/(12 ln(5)) * 5^(12x)

#91

Aniqmas integralni toping: ∫sin(√6 x)dx ;

1/√6 cos(√6 x)
cos(√6 x)
1/√6 cos(√6 x)
cos(√6 x)

Javobni ko'rish

1/√6 cos(√6 x)

#92

Aniqmas integralni toping: ∫(1/cos^2(4x))dx;

1/4 tg(4x)
ctg(4x)
4 tg(4x)
1/4 ctg(4x)

Javobni ko'rish

1/4 tg(4x)

#93

Aniqmas integralni toping: ∫(dx / (1+25x^2)) ;

1/5 arctg(5x)
1/5 arctg(5x)
arctg(5x)
arctg(5x)

Javobni ko'rish

1/5 arctg(5x)

#94

Aniqmas integralni toping: ∫(dx / sqrt(1-25x^2));

1/5 arcsin(5x)
arcsin(5x)
arcsin(5x)
1/5 arcsin(5x)

Javobni ko'rish

1/5 arcsin(5x)

#95

Aniqmas integralni toping: ∫(dx / (3x-1));

1/3 ln|3x-1|
ln|3x-1|
1/3 ln|3x-1|
ln|3x-1|

Javobni ko'rish

1/3 ln|3x-1|

#96

Integralni hisoblang. ∫(x^(7/4))dx from 0 to 16;

8190/11
8194/11
8196/11
8192/11

Javobni ko'rish

8192/11

#97

Integralni hisoblang. ∫sin^3(x)dx from 0 to pi/6;

1/2
1/3
sqrt(2)
sqrt(2)

Javobni ko'rish

1/3

#98

Berilgan egri chiziqlar bilan chegaralangan yuzani toping. y= 2x va y= x^2 -3

139/3
11 1/3
10 2/3
39/2

Javobni ko'rish

10 2/3

#99

Funksiya o‘sish va kamayish oraliqlarini toping. f(x) = x^3/3 - 5x^2/2 + 4x

(-∞; -2) -o‘suvchi, (2; +∞) -kamayuvchi.
(-∞; 1) U (4; +∞) -o‘suvchi, (1; 4) -kamayuvchi.
(-∞; 2) -o‘suvchi, (2; +∞) -kamayuvchi.
(-∞; 1) U (4; +∞) -kamayuvchi, (1; 4) -o‘suvchi .

Javobni ko'rish

(-∞; 1) U (4; +∞) -o‘suvchi, (1; 4) -kamayuvchi.

#100

Aniqmas integralni toping: ∫14x dx;

1/(14 ln(2)) * 14x
1/(2 ln(2)) * 14x
2 ln(2) * 14x
1/ln(14) * 14x

Javobni ko'rish

2 ln(2) * 14x

#101

Aniqmas integralni toping: ∫sin(√8 x)dx ;

1/√8 cos(√8 x)
1/√8 cos(√8 x)
cos(√8 x)
cos(√8 x)

Javobni ko'rish

1/√8 cos(√8 x)

#102

Aniqmas integralni toping: ∫(1/cos^2(5x))dx;

ctg(5x)
1/4 ctg(4x)
1/5 tg(5x)
5 tg(5x)

Javobni ko'rish

1/5 tg(5x)

#103

Aniqmas integralni toping: ∫(dx / (1+36x^2)) ;

arctg(6x)
1/6 arctg(6x)
arctg(6x)
1/6 arctg(6x)

Javobni ko'rish

1/6 arctg(6x)

#104

Aniqmas integralni toping: ∫(dx / sqrt(1-36x^2));

1/6 arcsin(6x)
arcsin(6x)
arcsin(6x)
1/6 arcsin(6x)

Javobni ko'rish

1/6 arcsin(6x)

#105

Aniqmas integralni toping: ∫(dx / (5x+2));

ln|5x+2|
1/5 ln|5x+2|
ln|5x+2|
1/5 ln|5x+2|

Javobni ko'rish

1/5 ln|5x+2|

#106

Integralni hisoblang: ∫(1/cos^2(3x))dx from pi/9 to pi/12;

1/2
1/3 (sqrt(3) - 1)
1/2
1/3 (sqrt(3) + 1)

Javobni ko'rish

1/3 (sqrt(3) + 1)

#107

Berilgan egri chiziqlar bilan chegaralangan yuzani toping. y= 4; x= y/4 va x= sqrt(y)

10
10/3
11/3
3

Javobni ko'rish

10/3

#108

Funksiyaning [−1; 3] kesmadagi eng katta va eng kichik qiymatlarini toping. f(x) = x^3 - 3x^2.

0-eng katta, -4-eng kichik.
2-eng katta, -2-eng kichik .
4-eng katta, -8-eng kichik .
4-eng katta, -4-eng kichik .

Javobni ko'rish

4-eng katta, -4-eng kichik .

#109

Aniqmas integralni toping: ∫13x dx;

2 ln(2) * 13x
1/(13 ln(2)) * 13x
1/(2 ln(2)) * 13x
1/ln(13) * 13x

Javobni ko'rish

2 ln(2) * 13x

#110

Aniqmas integralni toping: ∫cos(√8 x)dx

sin(√8 x)
1/√8 sin(√8 x)
1/√8 sin(√8 x)
sin(√8 x)

Javobni ko'rish

1/√8 sin(√8 x)

#111

Aniqmas integralni toping: ∫(1/cos^2(7x))dx;

1/7 tg(7x)
ctg(7x)
1/7 ctg(7x)
7 tg(7x)

Javobni ko'rish

1/7 tg(7x)

#112

Aniqmas integralni toping: ∫(dx / (1+49x^2)) ;

1/7 arctg(7x)
arctg(7x)
1/7 arctg(7x)
arctg(7x)

Javobni ko'rish

1/7 arctg(7x)

#113

Aniqmas integralni toping: ∫(dx / sqrt(1-49x^2));

arcsin(7x)
arcsin(7x)
1/7 arcsin(7x)
1/7 arcsin(7x)

Javobni ko'rish

1/7 arcsin(7x)

#114

Aniqmas integralni toping: ∫(dx / (7x+2));

1/7 ln|7x+2|
1/7 ln|7x+2|
ln|7x+2|
ln|7x+2|

Javobni ko'rish

1/7 ln|7x+2|

#115

Integralni hisoblang: $\displaystyle \int \frac{2x\,dx}{x^2+2}$.

$\ln|x|+C$
$\frac{1}{2}\ln(x^2+2)+C$
$\ln(x^2+2)+C$
$2\ln(x^2+2)+C$

Javobni ko'rish

$\frac{1}{2}\ln(x^2+2)+C$

#116

Funksiyaning [−1;3] kesmadagi eng katta va eng kichik qiymatlarini toping: $f(x)=x^4-4x^3+4x^2$.

Eng katta 0, eng kichik −4
Eng katta 9, eng kichik 0
Eng katta 1, eng kichik 0
Eng katta 4, eng kichik −8

Javobni ko'rish

Eng katta 9, eng kichik 0

#117

Aniqmas integralni toping: $\displaystyle \int 132^{x}2\,dx$.

$2\ln2\cdot132^{x}+C$
$\frac{1}{2}\ln13\cdot132^{x}+C$
$\frac{1}{2}\ln2\cdot132^{x}+C$
$\frac{1}{13}\ln2\cdot132^{x}+C$

Javobni ko'rish

$2\ln2\cdot132^{x}+C$

#118

Aniqmas integralni toping: $\displaystyle \int \cos(\sqrt{15}x)\,dx$.

$\sin(\sqrt{15}x)+C$
$-\sin(\sqrt{15}x)+C$
$\frac{1}{\sqrt{15}}\sin(\sqrt{15}x)+C$
$-\frac{1}{\sqrt{15}}\sin(\sqrt{15}x)+C$

Javobni ko'rish

$-\frac{1}{\sqrt{15}}\sin(\sqrt{15}x)+C$

#119

Aniqmas integralni toping: $\displaystyle \int \frac{1}{\cos^{2}(17x)}\,dx$.

$-\frac{1}{17}\cot(17x)+C$
$\frac{1}{17}\tan(17x)+C$
$17\tan(17x)+C$
$\cot(17x)+C$

Javobni ko'rish

$\frac{1}{17}\tan(17x)+C$

#120

Aniqmas integralni toping: $\displaystyle \int \frac{dx}{1+64x^{2}}$.

$\frac{1}{8}\arctg(8x)+C$
$-\arctg(8x)+C$
$\arctg(8x)+C$
$-\frac{1}{8}\arctg(8x)+C$

Javobni ko'rish

$\frac{1}{8}\arctg(8x)+C$

#121

Aniqmas integralni toping: $\displaystyle \int \frac{dx}{\sqrt{1-64x^{2}}}$.

$\frac{1}{8}\arcsin(8x)+C$
$-\arcsin(8x)+C$
$\arcsin(8x)+C$
$-\frac{1}{8}\arcsin(8x)+C$

Javobni ko'rish

$\frac{1}{8}\arcsin(8x)+C$

#122

Aniqmas integralni toping: $\displaystyle \int \frac{dx}{6x+1}$.

$\frac{1}{6}\ln|6x+1|+C$
$-\frac{1}{6}\ln|6x+1|+C$
$\ln|6x+1|+C$
$-\ln|6x+1|+C$

Javobni ko'rish

$\frac{1}{6}\ln|6x+1|+C$

#123

Funksiyaning [−2;3] kesmadagi eng katta va eng kichik qiymatlarini toping: $f(x)=3x^{4}-25x^{3}+60x^{2}$.

Eng katta 108, eng kichik 0
Eng katta 488, eng kichik 0
Eng katta 4, eng kichik −4
Eng katta 0, eng kichik −4

Javobni ko'rish

Eng katta 488, eng kichik 0

#124

Aniqmas integralni toping: $\displaystyle \int 252^{x}2\,dx$.

$2\ln2\cdot252^{x}+C$
$\frac{1}{2}\ln25\cdot252^{x}+C$
$\frac{1}{2}\ln2\cdot252^{x}+C$
$\frac{1}{25}\ln2\cdot252^{x}+C$

Javobni ko'rish

$2\ln2\cdot252^{x}+C$

#125

Aniqmas integralni toping: $\displaystyle \int \sin(\sqrt{15}x)\,dx$.

$\frac{1}{\sqrt{15}}\cos(\sqrt{15}x)+C$
$-\sin(\sqrt{15}x)+C$
$-\frac{1}{\sqrt{15}}\cos(\sqrt{15}x)+C$
$\sin(\sqrt{15}x)+C$

Javobni ko'rish

$-\frac{1}{\sqrt{15}}\cos(\sqrt{15}x)+C$

#126

Aniqmas integralni toping: $\displaystyle \int \frac{1}{\sin^{2}(7x)}\,dx$.

$\cot(17x)+C$
$17\tan(17x)+C$
$-\frac{1}{7}\cot(7x)+C$
$\frac{1}{7}\cot(7x)+C$

Javobni ko'rish

$-\frac{1}{7}\cot(7x)+C$

#127

Aniqmas integralni toping: $\displaystyle \int \frac{dx}{1+81x^{2}}$.

$-\frac{1}{9}\arctg(9x)+C$
$-\arctg(9x)+C$
$\frac{1}{9}\arctg(9x)+C$
$\arctg(9x)+C$

Javobni ko'rish

$\frac{1}{9}\arctg(9x)+C$

#128

Aniqmas integralni toping: $\displaystyle \int \frac{dx}{\sqrt{1-81x^{2}}}$.

$-\frac{1}{9}\arcsin(9x)+C$
$-\arcsin(9x)+C$
$\arcsin(9x)+C$
$\frac{1}{9}\arcsin(9x)+C$

Javobni ko'rish

$\frac{1}{9}\arcsin(9x)+C$

#129

Aniqmas integralni toping: $\displaystyle \int \frac{dx}{6x-1}$.

$-\frac{1}{6}\ln|6x-1|+C$
$\ln|6x-1|+C$
$\frac{1}{6}\ln|6x-1|+C$
$-\ln|6x-1|+C$

Javobni ko'rish

$\frac{1}{6}\ln|6x-1|+C$

#130

Funksiyaning qavariq va botiq oraliqlarini toping: $f(x)=2x^{3}+3x^{2}-12x+1$.

(−∞; −0,5) botiq, (−0,5;+∞) qavariq
(−∞; 0,5) botiq, (0,5;+∞) qavariq
(−∞; −0,5) botiq, (0,5; +∞) qavariq
(−∞; 0,5) botiq, (−0,5; +∞) qavariq

Javobni ko'rish

(−∞; −0,5) botiq, (−0,5;+∞) qavariq

#131

Aniqmas integralni toping: $\displaystyle \int 52^{x}2\,dx$.

$\frac{1}{5}\ln2\cdot52^{x}+C$
$2\ln2\cdot52^{x}+C$
$\frac{1}{2}\ln2\cdot52^{x}+C$
$\frac{1}{2}\ln5\cdot52^{x}+C$

Javobni ko'rish

$2\ln2\cdot52^{x}+C$

#132

Aniqmas integralni toping: $\displaystyle \int \sin(\sqrt{13}x)\,dx$.

$-\frac{1}{\sqrt{13}}\cos(\sqrt{13}x)+C$
$-\sin(\sqrt{13}x)+C$
$\frac{1}{\sqrt{13}}\cos(\sqrt{13}x)+C$
$\sin(\sqrt{13}x)+C$

Javobni ko'rish

$-\frac{1}{\sqrt{13}}\cos(\sqrt{13}x)+C$

#133

Aniqmas integralni toping: $\displaystyle \int \frac{1}{\sin^{2}(23x)}\,dx$.

$\frac{1}{23}\cot(23x)+C$
$-\frac{1}{23}\cot(23x)+C$
$23\tan(23x)+C$
$\cot(23x)+C$

Javobni ko'rish

$-\frac{1}{23}\cot(23x)+C$

#134

Aniqmas integralni toping: $\displaystyle \int \frac{dx}{1+100x^{2}}$.

$-\frac{1}{10}\arctg(10x)+C$
$-\arctg(20x)+C$
$\arctg(10x)+C$
$\frac{1}{10}\arctg(10x)+C$

Javobni ko'rish

$\frac{1}{10}\arctg(10x)+C$

#135

Aniqmas integralni toping: $\displaystyle \int \frac{dx}{\sqrt{1-100x^{2}}}$.

$-\frac{1}{10}\arcsin(10x)+C$
$\frac{1}{10}\arcsin(10x)+C$
$-\arcsin(10x)+C$
$2\arcsin(10x)+C$

Javobni ko'rish

$\frac{1}{10}\arcsin(10x)+C$

#136

Aniqmas integralni toping: $\displaystyle \int \frac{dx}{5x-1}$.

$-\frac{1}{5}\ln|5x-1|+C$
$-\ln|5x-1|+C$
$\ln|5x-1|+C$
$\frac{1}{5}\ln|5x-1|+C$

Javobni ko'rish

$\frac{1}{5}\ln|5x-1|+C$

#137

Integralni hisoblang: $\displaystyle \int_{\pi/12}^{\pi/3} \frac{1}{\cos^{2}(3x)}\,dx$.

$\frac{1}{2}$
$\frac{1}{3}$
$-\frac{1}{3}$
$-\frac{1}{2}$

Javobni ko'rish

$\frac{1}{3}$

#138

Integralni hisoblang: $\displaystyle \int_{0}^{\pi/6} \sin^{3}x\,dx$.

$-\sqrt{2}$
$\frac{1}{3}$
$\sqrt{2}$
$\frac{1}{2}$

Javobni ko'rish

$\frac{1}{3}$

#139

Aniqmas integralni toping: $\displaystyle \int 85^{x}8\,dx$.

$\frac{1}{8}\ln8\cdot85^{x}+C$
$\ln8\cdot85^{x}+C$
$8\ln8\cdot85^{x}+C$
$\frac{1}{5}\ln8\cdot85^{x}+C$

Javobni ko'rish

$8\ln8\cdot85^{x}+C$

#140

Aniqmas integralni toping. ∫cos(√21 x)dx

1/√21 sin(√21 x)
1/√21 cos(√21 x)
cos(√21 x)
sin(√21 x)

Javobni ko'rish

1/√21 sin(√21 x)

#141

Aniqmas integralni toping. ∫(1/cos^2(13x))dx

1/13 tg(13x)
ctg(13x)
tg(13x)
13tg(13x)

Javobni ko'rish

1/13 tg(13x)

#142

Aniqmas integralni toping. ∫(dx / (1 + 64x^2))

1/8 arctg(8x)
1/8 arctg(8x)
arctg(8x)
arctg(8x)

Javobni ko'rish

1/8 arctg(8x)

#143

Aniqmas integralni toping. ∫(dx / √(1 - 64x^2))

arcsin(64x)
1/64 arcsin(64x)
1/8 arcsin(8x)
arcsin(8x)

Javobni ko'rish

1/8 arcsin(8x)

#144

Aniqmas integralni toping. ∫(dx / (2x + 21))

1/21 ln|2x + 21|
1/2 ln|2x + 21|
ln|2x + 21|
ln|2x + 21|

Javobni ko'rish

1/2 ln|2x + 21|

#145

Aniqmas integralni toping. ∫4^20x dx

1/20 ln(4) * 4^(20x)
1/4 ln(20) * 4^(20x)
1/20 ln(20) * 4^(20x)
20/ln(20) * 4^(20x)

Javobni ko'rish

1/20 ln(20) * 4^(20x)

#146

Aniqmas integralni toping. ∫sin(√26 x)dx

1/√26 cos(√26 x)
cos(√26 x)
1/√26 cos(√26 x)
cos(√26 x)

Javobni ko'rish

1/√26 cos(√26 x)

#147

Aniqmas integralni toping. ∫(1/sin^2(36x))dx

1/36 ctg(36x)
ctg(36x)
1/6 tg(6x)
6tg(6x)

Javobni ko'rish

1/36 ctg(36x)

#148

Aniqmas integralni toping. ∫(dx / (5x - 12))

1/5 ln|5x - 12|
ln|5x - 12|
1/5 ln|5x - 12|
ln|5x - 12|

Javobni ko'rish

1/5 ln|5x - 12|

#149

Aniqmas integralni toping. ∫15^21x dx

1/21 ln(21) * 15^(21x)
1/21 ln(15) * 15^(21x)
21/ln(21) * 15^(21x)
1/15 ln(21) * 15^(21x)

Javobni ko'rish

1/21 ln(21) * 15^(21x)

#150

Aniqmas integralni toping. ∫sin(√15 x)dx

cos(√15 x)
1/√15 cos(√15 x)
cos(√15 x)
1/√15 cos(√15 x)

Javobni ko'rish

1/√15 cos(√15 x)

#151

Aniqmas integralni toping. ∫(1/sin^2(49x))dx

1/7 tg(7x)
1/7 ctg(7x)
49tg(49x)
1/49 ctg(49x)

Javobni ko'rish

1/49 ctg(49x)

#152

Aniqmas integralni toping. ∫(dx / (1 + 4x^2))

1/4 arctg(4x)
1/2 arctg(3x)
1/2 arctg(2x)
2 arctg(2x)

Javobni ko'rish

1/2 arctg(2x)

#153

Aniqmas integralni toping. ∫(dx / √(1 - 6x^2))

1/√6 arcsin(√6 x)
arcsin(3x)
1/√6 arcsin(√6 x)
arcsin(6x)

Javobni ko'rish

1/√6 arcsin(√6 x)

#154

Aniqmas integralni toping. ∫(dx / (15x + 23))

ln|15x + 23|
ln|15x + 23|
1/15 ln|15x + 23|
1/15 ln|15x + 23|

Javobni ko'rish

1/15 ln|15x + 23|

#155

Aniqmas integralni toping. ∫11^2x dx

1/2 ln(2) * 11^(2x)
2/ln(2) * 11^(2x)
1/2 ln(11) * 11^(2x)
1/11 ln(2) * 11^(2x)

Javobni ko'rish

1/2 ln(2) * 11^(2x)

#156

Aniqmas integralni toping. ∫sin(√11 x)dx

1/√11 cos(√11 x)
1/√11 cos(√11 x)
sin(√11 x)
sin(√11 x)

Javobni ko'rish

1/√11 cos(√11 x)

#157

Aniqmas integralni toping. ∫(1/cos^2(15x))dx

1/15 tg(15x)
1/15 tg(15x)
15tg(15x)
tg(15x)

Javobni ko'rish

1/15 tg(15x)

#158

Aniqmas integralni toping. ∫(dx / (1 + 144x^2))

arctg(12x)
arctg(12x)
1/12 arctg(12x)
1/12 arctg(12x)

Javobni ko'rish

1/12 arctg(12x)

#159

Aniqmas integralni toping. ∫(dx / √(1 - 144x^2))

arcsin(12x)
arcsin(12x)
1/12 arcsin(12x)
1/12 arcsin(12x)

Javobni ko'rish

1/12 arcsin(12x)

#160

Aniqmas integralni toping. ∫(dx / (5x - 321))

1/5 ln|5x - 321|
ln|5x - 321|
1/5 ln|5x - 321|
ln|5x - 321|

Javobni ko'rish

1/5 ln|5x - 321|

#161

Aniqmas integralni toping. ∫7^21x dx

21/ln(21) * 7^(21x)
1/7 ln(21) * 7^(21x)
1/3 ln(21) * 7^(21x)
1/21 ln(7) * 7^(21x)

Javobni ko'rish

1/7 ln(21) * 7^(21x)

#162

Aniqmas integralni toping. ∫sin(6x)dx

cos(√6 x)
1/6 cos(6x)
1/√6 cos(√6 x)
cos(6x)

Javobni ko'rish

1/6 cos(6x)

#163

Aniqmas integralni toping. ∫(1/cos^2(64x))dx

1/64 tg(64x)
ctg(64x)
8tg(8x)
1/64 ctg(64x)

Javobni ko'rish

1/64 tg(64x)

#164

Aniqmas integralni toping. ∫(dx / (1 + 625x^2))

arctg(25x)
1/25 arctg(25x)
arctg(25x)
1/25 arctg(25x)

Javobni ko'rish

1/25 arctg(25x)

#165

Aniqmas integralni toping. ∫(dx / √(1 - 625x^2))

1/25 arcsin(25x)
arcsin(25x)
arcsin(25x)
1/25 arcsin(25x)

Javobni ko'rish

1/25 arcsin(25x)

#166

Aniqmas integralni toping. ∫(dx / (3x + 1))

ln|3x + 1|
1/3 ln|3x + 1|
1/3 ln|3x + 1|
ln|3x - 1|

Javobni ko'rish

1/3 ln|3x + 1|

#167

Aniqmas integralni toping. ∫14^6x dx

1/14 ln(6) * 14^(6x)
6/ln(6) * 14^(6x)
1/6 ln(14) * 14^(6x)
1/6 ln(6) * 14^(6x)

Javobni ko'rish

1/6 ln(6) * 14^(6x)

#168

Aniqmas integralni toping: $ \int \sin\sqrt{7} x dx $

$-\frac{1}{\sqrt{7}} \cos\sqrt{7} x$
$ \frac{1}{\sqrt{7}} \cos\sqrt{7} x$
$ \cos\sqrt{7} x$
$-\cos\sqrt{7} x$

Javobni ko'rish

$-\frac{1}{\sqrt{7}} \cos\sqrt{7} x$

#169

Aniqmas integralni toping: $ \int \frac{1}{\cos^2 2x} dx $

$ \frac{1}{2} \tan 2x$
$2 \tan 2x$
$ \cot 2x$
$-\frac{1}{2} \cot 2x$

Javobni ko'rish

$ \frac{1}{2} \tan 2x$

#170

Aniqmas integralni toping: $ \int \frac{dx}{1+100x^2} $

$ \arctan 10x$
$-\frac{1}{10} \arctan 10x$
$ \frac{1}{10} \arctan 10x$
$-\arctan 10x$

Javobni ko'rish

$ \frac{1}{10} \arctan 10x$

#171

Aniqmas integralni toping: $ \int \frac{dx}{\sqrt{1-100x^2}} $

$ \frac{1}{10} \arcsin 10x$
$-\arcsin 10x$
$ \arcsin 10x$
$-\frac{1}{10} \arcsin 10x$

Javobni ko'rish

$ \frac{1}{10} \arcsin 10x$

#172

Aniqmas integralni toping: $ \int \frac{dx}{8x+9} $

$-\frac{1}{8} \ln|8x+9|$
$-\ln|8x+9|$
$ \ln|8x+9|$
$ \frac{1}{8} \ln|8x+9|$

Javobni ko'rish

$ \frac{1}{8} \ln|8x+9|$

#173

Aniqmas integralni toping: $ \int 13^{7x} dx $

$ \frac{7}{\ln 7} 13^{7x} $
$ \frac{1}{13 \ln 7} 13^{7x} $
$ \frac{1}{7 \ln 7} 13^{7x} $
$ \frac{1}{7 \ln 13} 13^{7x} $

Javobni ko'rish

$ \frac{1}{7 \ln 13} 13^{7x} $

#174

Aniqmas integralni toping: $ \int \cos\sqrt{17} x dx $

$-\frac{1}{\sqrt{17}} \sin\sqrt{17} x$
$-\sin\sqrt{17} x$
$ \sin\sqrt{17} x$
$ \frac{1}{\sqrt{17}} \sin\sqrt{17} x$

Javobni ko'rish

$ \frac{1}{\sqrt{17}} \sin\sqrt{17} x$

#175

Aniqmas integralni toping: $ \int \frac{1}{\cos^2 27x} dx $

$27 \tan 27x$
$ \frac{1}{27} \tan 27x$
$-\frac{1}{27} \cot 27x$
$ \cot 27x$

Javobni ko'rish

$ \frac{1}{27} \tan 27x$

#176

Aniqmas integralni toping: $ \int \frac{dx}{1+81x^2} $

$ \arctan 9x$
$-\frac{1}{9} \arctan 9x$
$ \frac{1}{9} \arctan 9x$
$-\arctan 9x$

Javobni ko'rish

$ \frac{1}{9} \arctan 9x$

#177

Aniqmas integralni toping: $ \int \frac{dx}{\sqrt{1-81x^2}} $

$-\frac{1}{9} \arcsin 9x$
$ \arcsin 9x$
$-\arcsin 9x$
$ \frac{1}{9} \arcsin 9x$

Javobni ko'rish

$ \frac{1}{9} \arcsin 9x$

#178

Aniqmas integralni toping: $ \int \frac{dx}{7x+25} $

$-\ln|7x+25|$
$-\frac{1}{7} \ln|7x+25|$
$ \frac{1}{7} \ln|7x+25|$
$ \ln|7x+25|$

Javobni ko'rish

$ \frac{1}{7} \ln|7x+25|$

#179

Aniqmas integralni toping: $ \int 12^{12x} dx $

$ \frac{12}{\ln 12} 12^{12x} $
$ \frac{1}{12 \ln 12} 12^{12x} $
$-\frac{1}{12 \ln 12} 12^{12x} $
$ \frac{1}{2 \ln 12} 12^{11x} $

Javobni ko'rish

$ \frac{1}{12 \ln 12} 12^{12x} $

#180

Aniqmas integralni toping: $ \int \cos 15x dx $

$ \frac{1}{15} \sin 15x$
$-\frac{1}{15} \sin 15x$
$-\sin 15x$
$ \sin 15x$

Javobni ko'rish

$ \frac{1}{15} \sin 15x$

#181

Aniqmas integralni toping: $ \int \frac{1}{\cos^2 19x} dx $

$ \cot 19x$
$ \frac{1}{19} \tan 19x$
$-\frac{1}{19} \cot 19x$
$19 \tan 19x$

Javobni ko'rish

$ \frac{1}{19} \tan 19x$

#182

Aniqmas integralni toping: $ \int \frac{dx}{1+169x^2} $

$-\frac{1}{13} \arctan 13x$
$ \frac{1}{13} \arctan 13x$
$ \arctan 13x$
$-\arctan 13x$

Javobni ko'rish

$ \frac{1}{13} \arctan 13x$

#183

Aniqmas integralni toping: $ \int \frac{dx}{\sqrt{1-169x^2}} $

$ \arcsin 13x$
$ \frac{1}{13} \arcsin 13x$
$-\arcsin 13x$
$-\frac{1}{13} \arcsin 13x$

Javobni ko'rish

$ \frac{1}{13} \arcsin 13x$

#184

Aniqmas integralni toping: $ \int \frac{dx}{6x+10} $

$ \frac{1}{6} \ln|6x+10|$
$-\frac{1}{6} \ln|6x+10|$
$-\ln|6x+10|$
$ \ln|6x+10|$

Javobni ko'rish

$ \frac{1}{6} \ln|6x+10|$

#185

Aniqmas integralni toping: $ \int 25^{22x} dx $

$ \frac{22}{\ln 25} 25^{22x} $
$ \frac{1}{25 \ln 22} 25^{22x} $
$ \frac{1}{22 \ln 25} 25^{22x} $
$ \frac{1}{22 \ln 22} 25^{22x} $

Javobni ko'rish

$ \frac{1}{22 \ln 25} 25^{22x} $

#186

Aniqmas integralni toping: $ \int \sin\sqrt{14} x dx $

$ \frac{1}{\sqrt{14}} \cos\sqrt{14} x$
$-\frac{1}{\sqrt{14}} \cos\sqrt{14} x$
$-\sin\sqrt{14} x$
$ \sin\sqrt{14} x$

Javobni ko'rish

$-\frac{1}{\sqrt{14}} \cos\sqrt{14} x$

#187

Aniqmas integralni toping: $ \int \frac{1}{\sin^2 72x} dx $

$72 \tan 72x$
$ \cot 72x$
$ \frac{1}{8} \cot 9x$
$-\frac{1}{72} \cot 72x$

Javobni ko'rish

$-\frac{1}{72} \cot 72x$

#188

Aniqmas integralni toping: $ \int \frac{dx}{1+x^2} $

$ \arctan x$
$-\arctan x$
$ \arctan 3x$
$-\arctan 2x$

Javobni ko'rish

$ \arctan x$

#189

Aniqmas integralni toping: $ \int \frac{dx}{\sqrt{1-x^2}} $

$ \arcsin^2 x$
$ \arcsin x$
$-\arcsin x$
$-\arcsin^2 x$

Javobni ko'rish

$ \arcsin x$

#190

Aniqmas integralni toping: $ \int \frac{dx}{6x-18} $

$-\ln|6x-18|$
$ \ln|6x-18|$
$ \frac{1}{6} \ln|6x-18|$
$-\frac{1}{6} \ln|6x-18|$

Javobni ko'rish

$ \frac{1}{6} \ln|6x-18|$

#191

Aniqmas integralni toping: $ \int 3^{52x} dx $

$ \frac{1}{2 \ln 35} 3^{52x} $
$ \frac{1}{5 \ln 2} 3^{52x} $
$ \frac{1}{2 \ln 2} 3^{52x} $
$ \frac{2}{\ln 2} 3^{52x} $

Javobni ko'rish

$ \frac{1}{2 \ln 2} 3^{52x} $

#192

Aniqmas integralni toping: $ \int \sin\sqrt{53} x dx $

$ \frac{1}{\sqrt{53}} \cos\sqrt{53} x$
$ \sin\sqrt{53} x$
$-\sin\sqrt{53} x$
$-\frac{1}{\sqrt{53}} \cos\sqrt{53} x$

Javobni ko'rish

$-\frac{1}{\sqrt{53}} \cos\sqrt{53} x$

#193

Aniqmas integralni toping: $ \int \frac{1}{\sin^2 21x} dx $

$-\frac{1}{21} \cot 21x$
$ \frac{1}{21} \cot 21x$
$ \cot 21x$
$21 \tan 21x$

Javobni ko'rish

$-\frac{1}{21} \cot 21x$

#194

Aniqmas integralni toping: $ \int \frac{dx}{1+196x^2} $

$-\arctan 14x$
$ \frac{1}{14} \arctan 14x$
$ \arctan 14x$
$-\frac{1}{14} \arctan 14x$

Javobni ko'rish

$ \frac{1}{14} \arctan 14x$

#195

Aniqmas integralni toping: $ \int \frac{dx}{\sqrt{1-196x^2}} $

$ \frac{1}{14} \arcsin 14x$
$-\frac{1}{14} \arcsin 14x$
$ \arcsin 14x$
$-\arcsin 14x$

Javobni ko'rish

$-\frac{1}{14} \arcsin 14x$

#196

Aniqmas integralni toping: $\int \frac{dx}{52x-10}$

$-\frac{1}{52}\ln|52x-10|$
$-\ln|52x-10|$
$\ln|52x-10|$
$\frac{1}{52}\ln|52x-10|$

Javobni ko'rish

$\frac{1}{52}\ln|52x-10|$

#197

Aniqmas integralni toping: $\int 185x\,dx$

$\frac{1}{18}\ln18\cdot185x$
$\frac{1}{5}\ln18\cdot185x$
$\frac{18}{\ln 18}\,185x$
$\frac{1}{18}\ln5\cdot185x$

Javobni ko'rish

$\frac{1}{18}\ln18\cdot185x$

#198

Aniqmas integralni toping: $\int \cos\left(\sqrt{22}\,x\right)\,dx$

$-\sin\left(\sqrt{22}\,x\right)$
$\cos\left(\sqrt{22}\,x\right)$
$-\frac{1}{\sqrt{22}}\cos\left(\sqrt{22}\,x\right)$
$\frac{1}{\sqrt{22}}\sin\left(\sqrt{22}\,x\right)$

Javobni ko'rish

$\frac{1}{\sqrt{22}}\sin\left(\sqrt{22}\,x\right)$

#199

Aniqmas integralni toping: $\int \tan^2(73x)\,dx$ interpreted as $\int \frac{1}{\cos^2(73x)}\,dx$

$73\tan(73x)$
$\frac{1}{73}\tan(73x)$
$\cot(73x)$
$\tan(73x)$

Javobni ko'rish

$\frac{1}{73}\tan(73x)$

#200

Aniqmas integralni toping: $\int \frac{dx}{1+225x^2}$

$\frac{1}{15}\arctg(15x)$
$\arctg(15x)$
$-\arctg(15x)$
$-\frac{1}{15}\arctg(15x)$

Javobni ko'rish

$\frac{1}{15}\arctg(15x)$

#201

Aniqmas integralni toping: $\int \frac{dx}{\sqrt{1-225x^2}}$

$-\frac{1}{15}\arcsin\left(\tfrac{1}{5}x\right)$
$\arcsin\left(\tfrac{1}{3}x\right)$
$\frac{1}{15}\arcsin\left(\tfrac{1}{5}x\right)$
$\arcsin\left(\tfrac{1}{5}x\right)$

Javobni ko'rish

$\frac{1}{15}\arcsin\left(\tfrac{1}{5}x\right)$

#202

Aniqmas integralni toping: $\int \frac{dx}{25x+25}$

$\frac{1}{25}\ln|x+1|$
$-\ln|25x+25|$
$\ln|25x+25|$
$\frac{1}{25}\ln|25x+1|$

Javobni ko'rish

$\frac{1}{25}\ln|x+1|$

#203

Aniqmas integralni toping: $\int 920x\,dx$

$\frac{1}{20}\ln20\cdot920x$
$\frac{1}{20}\ln9\cdot920x$
$\frac{20}{\ln20}\,920x$
$\frac{1}{9}\ln20\cdot920x$

Javobni ko'rish

$\frac{1}{20}\ln20\cdot920x$

#204

Aniqmas integralni toping: $\int \sin\left(\sqrt{46}\,x\right)\,dx$

$\frac{1}{\sqrt{46}}\cos\left(\sqrt{46}\,x\right)$
$-\frac{1}{\sqrt{46}}\cos\left(\sqrt{46}\,x\right)$
$-\cos\left(\sqrt{46}\,x\right)$
$\cos\left(\sqrt{46}\,x\right)$

Javobni ko'rish

$-\frac{1}{\sqrt{46}}\cos\left(\sqrt{46}\,x\right)$

#205

Aniqmas integralni toping: $\int \frac{dx}{\sin^2(46x)}$

$\cot(46x)$
$\frac{1}{46}\tan(46x)$
$46\tan(46x)$
$-\frac{1}{46}\cot(46x)$

Javobni ko'rish

$-\frac{1}{46}\cot(46x)$

#206

Aniqmas integralni toping: $\int \frac{dx}{1+4x^2}$

$-\arctg(2x)$
$\arctg(2x)$
$-\frac{1}{2}\arctg(2x)$
$\frac{1}{2}\arctg(2x)$

Javobni ko'rish

$\frac{1}{2}\arctg(2x)$

#207

Aniqmas integralni toping: $\int \frac{dx}{\sqrt{1-4x^2}}$

$-\arcsin(2x)$
$\arcsin(2x)$
$-\frac{1}{2}\arcsin(2x)$
$\frac{1}{2}\arcsin(2x)$

Javobni ko'rish

$\frac{1}{2}\arcsin(2x)$

#208

Aniqmas integralni toping: $\int \frac{dx}{50x-11}$

$-\ln|50x-11|$
$\ln|50x-11|$
$\frac{1}{50}\ln|50x-11|$
$-\frac{1}{50}\ln|50x-11|$

Javobni ko'rish

$\frac{1}{50}\ln|50x-11|$

#209

Aniqmas integralni toping: $\int 527x\,dx$

$\frac{27}{\ln27}\,527x$
$\frac{1}{27}\ln5\cdot527x$
$\frac{1}{5}\ln27\cdot527x$
$\frac{1}{27}\ln27\cdot527x$

Javobni ko'rish

$\frac{1}{27}\ln27\cdot527x$

#210

Aniqmas integralni toping: $\int \sin\left(\sqrt{11}\,x\right)\,dx$

$\cos\left(\sqrt{11}\,x\right)$
$-\cos\left(\sqrt{11}\,x\right)$
$\frac{1}{\sqrt{11}}\cos\left(\sqrt{11}\,x\right)$
$-\frac{1}{\sqrt{11}}\cos\left(\sqrt{11}\,x\right)$

Javobni ko'rish

$-\frac{1}{\sqrt{11}}\cos\left(\sqrt{11}\,x\right)$

#211

Aniqmas integralni toping: $\int \frac{dx}{\sin^2(25x)}$

$\frac{1}{5}\tan(5x)$
$-\frac{1}{25}\cot(25x)$
$-\frac{1}{5}\cot(5x)$
$25\tan(25x)$

Javobni ko'rish

$-\frac{1}{25}\cot(25x)$

#212

Aniqmas integralni toping: $\int \frac{dx}{1+25x^2}$

$\arctg(5x)$
$-\frac{1}{5}\arctg(5x)$
$\frac{1}{5}\arctg(5x)$
$-\frac{1}{3}\arctg(3x)$

Javobni ko'rish

$\frac{1}{5}\arctg(5x)$

#213

Aniqmas integralni toping: $\int \frac{dx}{1+17x^2}$

$-\frac{1}{\sqrt{17}}\arctg(\sqrt{17}x)$
$\frac{1}{\sqrt{17}}\arctg(\sqrt{17}x)$
$\arctg(\sqrt{17}x)$
$-\frac{1}{\sqrt{17}}\arctg(x)$

Javobni ko'rish

$\frac{1}{\sqrt{17}}\arctg(\sqrt{17}x)$

#214

Aniqmas integralni toping: $\int \frac{dx}{\sqrt{1-46x^2}}$

$\arcsin(7x)$
$-\frac{1}{\sqrt{46}}\arcsin(\sqrt{46}x)$
$\frac{1}{\sqrt{46}}\arcsin(\sqrt{46}x)$
$-\arcsin(46x)$

Javobni ko'rish

$\frac{1}{\sqrt{46}}\arcsin(\sqrt{46}x)$

#215

Aniqmas integralni toping: $\int \frac{dx}{3x+9}$

$-\ln|3x+9|$
$\frac{1}{3}\ln|3x+9|$
$\ln|3x+9|$
$-\frac{1}{3}\ln|3x+9|$

Javobni ko'rish

$\frac{1}{3}\ln|3x+9|$

#216

Aniqmas integralni toping: $\int 1020x\,dx$

$\frac{1}{20}\ln20\cdot1020x$
$\frac{1}{10}\ln20\cdot1020x$
$\frac{20}{\ln20}\,1020x$
$\frac{1}{20}\ln10\cdot1020x$

Javobni ko'rish

$\frac{1}{20}\ln20\cdot1020x$

#217

Aniqmas integralni toping: $\int \sin\left(\sqrt{7}\,x\right)\,dx$

$-\sin\left(\sqrt{7}\,x\right)$
$-\frac{1}{\sqrt{7}}\cos\left(\sqrt{7}\,x\right)$
$\frac{1}{\sqrt{7}}\cos\left(\sqrt{7}\,x\right)$
$\sin\left(\sqrt{7}\,x\right)$

Javobni ko'rish

$-\frac{1}{\sqrt{7}}\cos\left(\sqrt{7}\,x\right)$

#218

Aniqmas integralni toping: $\int \frac{dx}{\cos^2(7x)}$

$\tan(7x)$
$7\tan(7x)$
$\frac{1}{7}\tan(7x)$
$-\frac{1}{7}\tan(7x)$

Javobni ko'rish

$\frac{1}{7}\tan(7x)$

#219

Aniqmas integralni toping: $\int \frac{dx}{1+7x^2}$

$\arctg(\sqrt{7}x)$
$\frac{1}{\sqrt{7}}\arctg(\sqrt{7}x)$
$-\frac{1}{\sqrt{7}}\arctg(\sqrt{7}x)$
$-\arctg(7x)$

Javobni ko'rish

$\frac{1}{\sqrt{7}}\arctg(\sqrt{7}x)$

#220

Aniqmas integralni toping: $\int \frac{dx}{\sqrt{1-7x^2}}$

$\frac{1}{\sqrt{7}}\arcsin(\sqrt{7}x)$
$\arcsin(\sqrt{7}x)$
$-\arcsin(\sqrt{7}x)$
$-\frac{1}{\sqrt{7}}\arcsin(\sqrt{7}x)$

Javobni ko'rish

$\frac{1}{\sqrt{7}}\arcsin(\sqrt{7}x)$

#221

Aniqmas integralni toping: $\int \frac{dx}{8x-32}$

$\frac{1}{8}\ln|8x-32|$
$-\ln|8x-32|$
$\ln|8x-32|$
$-\frac{1}{8}\ln|8x-32|$

Javobni ko'rish

$\frac{1}{8}\ln|8x-32|$

#222

Aniqmas integralni toping: $\int 372x\,dx$

$\frac{2}{\ln2}\,372x$
$\frac{1}{2}\ln37\cdot237x$
$\frac{1}{37}\ln2\cdot372x$
$\frac{1}{2}\ln37\cdot372x$

Javobni ko'rish

$\frac{1}{2}\ln37\cdot372x$

#223

Aniqmas integralni toping: ∫cos²18x dx

18 tg18x
1/18 ctg18x
ctg18x
1/18 tg18x

Javobni ko'rish

1/18 tg18x

#224

Aniqmas integralni toping: ∫ dx / (1+6x²)

arctg√6x
1/√6 arctg√6x
arctg√6x
1/√6 arctg√6x

Javobni ko'rish

1/√6 arctg√6x

#225

Aniqmas integralni toping: ∫ dx / √(1-6x²)

arcsin√6 x
1/√6 arcsin√6 x
arcsin√6 x
1/√6 arcsin√6 x

Javobni ko'rish

1/√6 arcsin√6 x

#226

Aniqmas integralni toping: ∫ dx / (33x+17)

1/33 ln|33x+17|
ln|33x+17|
ln|33x-17|
1/33 ln|33x+17|

Javobni ko'rish

1/33 ln|33x+17|

#227

Aniqmas integralni toping: ∫4¹⁶ˣ dx

1/16 * (1/ln16) * 4¹⁶ˣ
1/16 * (1/ln4) * 4¹⁶ˣ
4 / (ln4) * 4¹⁶ˣ
1/4 * (1/ln16) * 4¹⁶ˣ

Javobni ko'rish

1/16 * (1/ln16) * 4¹⁶ˣ

#228

Aniqmas integralni toping: ∫sin⁵5x dx

1/5⁵ cos5 5x
cos5 5x
cos5 5x
1/5⁵ cos5 5x

Javobni ko'rish

1/5⁵ cos5 5x

#229

Aniqmas integralni toping: ∫ 1 / cos²29x dx

1/29 ctg29x
29 tg29x
ctg29x
1/29 tg29x

Javobni ko'rish

1/29 tg29x

#230

Aniqmas integralni toping: ∫ dx / (1+10x²)

1/√10 arctg√10x
1/√10 arctg√10x
arctg√10x
arctg√10x

Javobni ko'rish

1/√10 arctg√10x

#231

Aniqmas integralni toping: ∫ dx / √(1-10x²)

arcsin√10 x
1/√10 arcsin√10 x
1/√10 arcsin√10 x
arcsin√10 x

Javobni ko'rish

1/√10 arcsin√10 x

#232

Aniqmas integralni toping: ∫ dx / (18x+19)

ln|18x+19|
1/18 ln|18x+19|
ln|18x+19|
1/18 ln|18x+19|

Javobni ko'rish

1/18 ln|18x+19|

#233

Aniqmas integralni toping: ∫18¹⁷ˣ dx

1/17 * (1/ln18) * 18¹⁷ˣ
1/17 * (1/ln17) * 18¹⁷ˣ
1/18 * (1/ln17) * 18¹⁷ˣ
17 / (ln17) * 18¹⁷ˣ

Javobni ko'rish

1/17 * (1/ln17) * 18¹⁷ˣ

#234

Aniqmas integralni toping: ∫cos√18 x dx

1/√18 sin√18 x
sin√18 x
sin√18 x
1/√18 sin√18 x

Javobni ko'rish

1/√18 sin√18 x

#235

Aniqmas integralni toping: ∫ 1 / cos²7x dx

1/7 tg7x
1/7 ctg7x
7 tg7x
ctg7x

Javobni ko'rish

1/7 tg7x

#236

Aniqmas integralni toping: ∫ dx / (1+8x²)

arctg8x
1/8 arctg8x
1/√8 arctg√8x
arctg8x

Javobni ko'rish

1/√8 arctg√8x

#237

Birinchi tartibli chiziqli differensial tenglamani toping.

y' + p(x)y = q(x)
M(x)dy + N(y)dx = 0
y' = f(x, y)
M(x)dx + N(y)dy = 0

Javobni ko'rish

y' + p(x)y = q(x)

#238

O’zgaruvchisi ajralgan differensial tenglamaning umumiy yechimini toping.

y = eᵏˣ
y = e^∫pdx(∫q e^-∫pdx dx + C)
∫M(x)dx + ∫N(y)dy = C
y = t⋅x

Javobni ko'rish

∫M(x)dx + ∫N(y)dy = C

#239

O’zgaruvchisi ajralgan differensial tenglamani toping.

y″ + py' + qy = 0
y' = f(x, y)
M(x)dx + N(y)dy = 0
M(x)dy + N(y)dx = 0

Javobni ko'rish

M(x)dx + N(y)dy = 0

#240

Birinchi tartibli chiziqli differensial tenglamaning umumiy yechimini toping.

y = e^-∫pdx(∫q e^∫pdx dx + c)
y = eᵏ¹ˣcosk₂ x
y = C₁eᵏ¹ˣ + C₂eᵏ²ˣ
y = tx

Javobni ko'rish

y = e^-∫pdx(∫q e^∫pdx dx + c)

#241

Bernulli differensial tenglamasini toping.

y' + p(x)y = q(x)yⁿ, (n≠0,1)
y' = f(x; y)
M(x)dx + N(y)dy = 0
y' + p(x)y = q(x)

Javobni ko'rish

y' + p(x)y = q(x)yⁿ, (n≠0,1)

#242

Birinchi tartibli bir jinsli differensial tenglama qaysi almashtirish orqali yechiladi?

y = u/x
y = ux
y = u
y = eᵘˣ

Javobni ko'rish

y = ux

#243

Birinchi tartibli to’la differensial tenglamani toping.

P(x, y)dx + Q(x, y)dy = 0
u(x, y) = C
Q(x, y)dy = 0
P(x, y)dx = 0

Javobni ko'rish

P(x, y)dx + Q(x, y)dy = 0

#244

Differensial tenglamaning umumiy yechimini toping. y' = eˣ.

y = -e⁻ˣ + C
y = -eˣ + C
y = eˣ + C
y = e⁻ˣ + C

Javobni ko'rish

y = eˣ + C

#245

Differensial tenglamaning umumiy yechimini toping. y' = 1/x.

y = ln|x| + C
y = -ln|x| + C
y = 2 ln|x| + C
y = xln|x| + C

Javobni ko'rish

y = ln|x| + C

#246

Differensial tenglamaning umumiy yechimini toping. y' = 4x³.

y = x⁴ + C
y = 12x² + C
y = -x⁴ + C
y = 5x⁴ + C

Javobni ko'rish

y = x⁴ + C

#247

y = -3/x funksiya hosilasini toping.

3x
3
3
3/x²

Javobni ko'rish

3/x²

#248

𝑦 = sin𝑥 + cos𝑥 funksiyaning hosilasini toping.

𝑦′ = -(cos𝑥 - sin𝑥)
𝑦′ = cos𝑥 + sin𝑥
𝑦′ = cos𝑥 - sin𝑥
𝑦′ = 0

Javobni ko'rish

𝑦′ = cos𝑥 + sin𝑥

#249

𝑦 = xsinx + cosx funksiyaning hosilasini toping.

𝑦′ = xcosx - sinx
𝑦′ = sinx + cosx
𝑦′ = xcosx
𝑦′ = xsinx

Javobni ko'rish

𝑦′ = xcosx

#250

𝑦 = sin(sin𝑥) funksiyaning hosilasini toping.

𝑦′ = cos(sinx)·cosx
𝑦′ = -cos(sinx)
𝑦′ = cos(sinx)
𝑦′ = cosx

Javobni ko'rish

𝑦′ = cos(sinx)·cosx

#251

Bir tomondan imorat bilan chegaralangan, qolgan tomonlari uzunligi 80 m panjara bilan o‘ralgan to‘g‘ri to‘rtburchak shaklidagi yer maydonining eng katta yuzini toping.

1000 m²
1600 m²
800 m²
1200 m²

Javobni ko'rish

1600 m²

#252

Quyidagi funksiyaning hosilasini toping. 𝑓(𝑥) = 𝑡𝑔𝑥.

𝑓′(𝑥) = -\frac{1}{sin^2x}
𝑓′(x) = 1
𝑓′(𝑥) = \frac{1}{sin^2x}
𝑓′(𝑥) = \frac{1}{cos^2x}

Javobni ko'rish

𝑓′(𝑥) = \frac{1}{cos^2x}

#253

Quyidagi funksiyaning hosilasini toping. 𝑓(𝑥) = 𝑒^{2−3𝑥}.

𝑓′(𝑥) = -3𝑒^{2−3𝑥}
𝑓′(𝑥) = 3𝑒^{2−3𝑥}
𝑓′(𝑥) = (2 −3𝑥)𝑒^{2−3𝑥}
𝑓′(𝑥) = 2 −3𝑥𝑒^{2−3𝑥}

Javobni ko'rish

𝑓′(𝑥) = -3𝑒^{2−3𝑥}

#254

Quyidagi funksiyaning hosilasini toping. 𝑓(𝑥) = (𝑥−3)^{100}.

𝑓′(𝑥) = (𝑥−3)^{99}
𝑓′(𝑥) = 100(𝑥−3)^{99}
𝑓′(𝑥) = (𝑥−3)^{100}
𝑓′(𝑥) = 100(𝑥−3)

Javobni ko'rish

𝑓′(𝑥) = 100(𝑥−3)^{99}

#255

Quyidagi funksiyaning hosilasini toping. 𝑓(𝑥) = cos(2𝑥).

𝑓′(𝑥) = cos(2𝑥)
𝑓′(𝑥) = sin(2𝑥)
𝑓′(𝑥) = -2cos(2𝑥)
𝑓′(𝑥) = -2sin(2𝑥)

Javobni ko'rish

𝑓′(𝑥) = -2sin(2𝑥)

#256

Quyidagi funksiyaning hosilasini toping. 𝑓(𝑥) = ln (2𝑥−5).

𝑓′(𝑥) = \frac{1}{2𝑥−5}
𝑓′(𝑥) = 1
𝑓′(𝑥) = \frac{2}{2𝑥−5}
𝑓′(𝑥) = 2ln (2𝑥−5)

Javobni ko'rish

𝑓′(𝑥) = \frac{2}{2𝑥−5}

#257

𝑦= 𝑥^2 + 2𝑥 funksiya o’sish oraliqlarini toping.

𝑦′(−1; +∞)
𝑦′(3; +∞)
𝑦′(1; +∞)
𝑦′(−2; +∞)

Javobni ko'rish

𝑦′(−1; +∞)

#258

𝑦= 𝑥^2 −6𝑥 funksiya o’sish oraliqlarini toping.

𝑦′(1; +∞)
𝑦′(2; +∞)
𝑦′(−3; +∞)
𝑦′(3; +∞)

Javobni ko'rish

𝑦′(3; +∞)

#259

𝑦= 𝑥^2 + 2𝑥 funksiya kamayish oraliqlarini toping.

𝑦′(1; +∞)
𝑦′(3; +∞)
𝑦′(−2; +∞)
𝑦′(−∞; −1)

Javobni ko'rish

𝑦′(−∞; −1)

#260

𝑦= 𝑥^2 −8𝑥 funksiya kamayish oraliqlarini toping.

𝑦′(5; +∞)
𝑦′(1; +∞)
𝑦′(4; +∞)
𝑦′(−∞; 4)

Javobni ko'rish

𝑦′(−∞; 4)

#261

Quyidagi funksiyalardan qaysi biri (−∞; 0) oraliqda o‘suvchi?

𝑦= 2𝑥^2
𝑦=\frac{3}{x}
𝑦= 6 −5𝑥
𝑦= 2𝑥+ 7

Javobni ko'rish

𝑦= 2𝑥+ 7

#262

Quyidagi funksiyalardan qaysi biri (0; +∞)oraliqda kamayuvchi?

𝑦= 𝑥+ 8
𝑦= \sqrt{x}
𝑦= −\frac{4}{x}
𝑦= 3 −2𝑥

Javobni ko'rish

𝑦= −\frac{4}{x}

#263

𝑓(𝑥) = \frac{3𝑥−5}{𝑥^2−1} funksiya aniqlanish sohasini toping.

𝑥 ∈ (−∞; −1)
𝑥 ∈ (−1; +∞)
𝑥 ∈ 𝑅
𝑥 ∈ (−∞; −1) ∪ (−1; 1) ∪ (1; +∞)

Javobni ko'rish

𝑥 ∈ (−∞; −1) ∪ (−1; 1) ∪ (1; +∞)

#264

𝑓(𝑥) = \frac{𝑥+2}{𝑥^2−4} funksiya aniqlanish sohasini toping.

𝑥 ∈ 𝑅
𝑥 ∈ (−∞; −2)
𝑥 ∈ (1; +∞)
𝑥 ∈ (−∞; −2) ∪ (−2; 2) ∪ (2; +∞)

Javobni ko'rish

𝑥 ∈ (−∞; −2) ∪ (−2; 2) ∪ (2; +∞)

#265

𝑦= \sqrt{2𝑥−1} / (1−2𝑥) funksiyaning aniqlanish sohasini toping.

𝑥 > 1
𝑥 < \frac{1}{2}
∅
𝑥 ∈ (−1; 2)

Javobni ko'rish

∅

#266

Juft funksiya uchun quyidagilardan qaysi biri o‘rinli?

Funksiya kamayadi
Funksiya o‘sadi
Funksiya grafigi ordinatalar o‘qiga nisbatan simmetrik
Funksiya grafigi koordinatalar boshiga nisbatan simmetrik

Javobni ko'rish

Funksiya grafigi ordinatalar o‘qiga nisbatan simmetrik

#267

Toq funksiyalarga nisbatan quyidagilardan qaysi biri o‘rinli?

Funksiya grafigi koordinatalar boshiga nisbatan simmetrik
Funksiya grafigi ordinatalar o‘qiga nisbatan simmetrik
Funksiya o‘sadi
Funksiya kamayadi

Javobni ko'rish

Funksiya grafigi koordinatalar boshiga nisbatan simmetrik

#268

𝑦= sin^2(2𝑥), 𝑦′−?

𝑦′ = 2sin(4𝑥)
𝑦′ = -sin^2(𝑥)
𝑦′ = -1 + 2sin(𝑥)
𝑦′ = 2sin(𝑥)

Javobni ko'rish

𝑦′ = 2sin(4𝑥)

#269

𝑦= sin(𝑥^2) − cos𝑥 , 𝑦′−?

𝑦′ = -1 + 2sin(𝑥)
𝑦′ = 2𝑥cos(𝑥^2) + sin𝑥
𝑦′ = 2𝑥cos(𝑥^2)
𝑦′ = 2𝑥cos𝑥 - sin𝑥

Javobni ko'rish

𝑦′ = 2𝑥cos(𝑥^2) + sin𝑥

#270

𝑓(𝑥) = 𝑥^2 −2𝑥+ 5 funksiyaning [0; 1] kesmadagi eng katta qiymatini toping.

Javobni ko'rish

#271

𝑓(𝑥) = 𝑥^3 −3𝑥^2 funksiyaning [−1; 4] kesmadagi eng kichik qiymatini toping.

Javobni ko'rish

#272

𝑓(𝑥) = 𝑥^3 −3𝑥^2 + 1 funksiyaning [−1; 4] kesmadagi eng katta va eng kichik qiymatlari ayirmasini toping.

Javobni ko'rish

#273

𝑓(𝑥) = 𝑥^3 −3𝑥^2 + 1 funksiya [−1; 3] kesmadagi eng katta va eng kichik qiymatlarini yig‘indisini toping.

Javobni ko'rish

#274

∫𝑓(𝑥)𝑑𝑥= 2 cos𝑥+ 7 sin𝑥+ 𝐶, 𝑓(𝑥)−?

𝑓(𝑥) = 2 sin𝑥−2 cos𝑥
𝑓(𝑥) = −2 sin𝑥+ 7 cos𝑥
𝑓(𝑥) = −2 sin𝑥−cos𝑥
𝑓(𝑥) = ln|sin𝑥|+ cos𝑥

Javobni ko'rish

𝑓(𝑥) = −2 sin𝑥+ 7 cos𝑥

#275

∫𝑓(𝑥)𝑑𝑥= 2 sin𝑥+ 3 cos𝑥+ 𝐶, 𝑓(𝑥)−?

𝑓(𝑥) = 2 sin𝑥−2 cos𝑥
𝑓(𝑥) = 2 cos𝑥−3 sin𝑥
𝑓(𝑥) = −2 sin𝑥−cos𝑥
𝑓(𝑥) = ln|sin𝑥|+ cos𝑥

Javobni ko'rish

𝑓(𝑥) = 2 cos𝑥−3 sin𝑥

#276

∫(𝑥+ 1)^3 𝑑𝑥−?

\frac{(𝑥+1)^4}{3} + C
4(𝑥+1)^4 + C
\frac{1}{3}(𝑥+1)^3 + C
\frac{(𝑥+1)^4}{4} + C

Javobni ko'rish

\frac{(𝑥+1)^4}{4} + C

#277

∫(−2 sin x + 5 cos x) dx hisoblang.

2 tan x + C
2 sin x − 2 cos x + C
ln sin x + cos x + C
2 cos x + 5 sin x + C

Javobni ko'rish

2 cos x + 5 sin x + C

#278

∫(2x − 1/ sin^2 x) dx natijasini tanlang.

x^2 + cot x + C
cosec x + C
x^2 + C
sin x + C

Javobni ko'rish

x^2 + cot x + C

#279

∫_0^1 x^2 dx qiymati qanday?

4
4
1/3
16/3

Javobni ko'rish

1/3

#280

y = 3x sin x funksiyaning hosilasi y' qanday?

−1 + 2 sin x
3 sin x + 3x cos x
x − 1 + 2 sin x
cos x + x sin x

Javobni ko'rish

3 sin x + 3x cos x

#281

y = 1/x^2 funksiyaning hosilasi qanday?

−30 / x^2
30 / x^3
−30 / x
−2 / x^3

Javobni ko'rish

−2 / x^3

#282

y = sin^2 x + cos^2 x funksiyaning hosilasi qanday?

−1 + 2 sin x
0
sin^2 x
2x cos^2 x

Javobni ko'rish

#283

∫_{−1}^{1} e^x dx qiymatini toping.

e^2 − 1
e^2
e^2 − 1 over e
e / (e^2 − 1)

Javobni ko'rish

e^2 − 1

#284

y = u(x) ⋅ v(x) funksiyasining hosilasi qanday ifodalanadi?

u' v + u v'
u' ⋅ v'
(u' v + u v') / (u v)
u' + v'

Javobni ko'rish

u' v + u v'

#285

y = u(x) / v(x) funksiyasining hosilasi qanday ifodalanadi?

(u' v + u v') / v^2
(u' v + u v') / (u v)
u' / v
(u' v − u v') / v^2

Javobni ko'rish

(u' v − u v') / v^2

#286

∫_a^b u dv uchun mos ifoda qaysi?

u v|_a^b + ∫_a^b v du
u v|_a^b − ∫_a^b u dv
u v|_a^b − ∫_a^b v du
u ∫ dv − v ∫ du |_a^b

Javobni ko'rish

u v|_a^b − ∫_a^b v du

#287

y = x^3 funksiyaning botiqlik oralig'i (konkav) qaysi?

(−∞; ∞)
(0; +∞)
(−∞; 0)
[-1; 1]

Javobni ko'rish

(−∞; 0)

#288

y = x^3 funksiyaning qavariqlik oralig'i (konveks) qaysi?

(0; +∞)
[-1; 1]
(−∞; 0)
(−∞; ∞)

Javobni ko'rish

(0; +∞)

#289

y = x^3 funksiyasining egilish nuqtasi (inflection point) qaysi x qiymatida?

0
1
2
−1

Javobni ko'rish

#290

y = ln(3x) funksiyasining hosilasi qanday?

0
3 / x
x
1 / x

Javobni ko'rish

1 / x

#291

y = ln(5x) funksiyasining hosilasi qanday?

0
5 / x
x
1 / x

Javobni ko'rish

1 / x

#292

y = ln(7x) funksiyasining hosilasi qanday?

0
x
1 / x
7 / x

Javobni ko'rish

1 / x

#293

y = ln(10x) − 5 funksiyasining hosilasi qanday?

1 / x
x
0
3 / x

Javobni ko'rish

1 / x

#294

y = 2 + ln(3x) funksiyasining hosilasi qanday?

x
3 / x
1 / x
0

Javobni ko'rish

1 / x

#295

y = 1/2 − ln(3x) funksiyasining hosilasi qanday?

−1 / x
0
x
3 / x

Javobni ko'rish

−1 / x

#296

y = x^2 + 2x funksiyaning o'sish oralig'i qaysi?

(0; 3)
(-1; 0)
(−1; +∞)
(-1; 1)

Javobni ko'rish

(−1; +∞)

#297

y = x^2 + 2x funksiyaning kamayish oralig'i qaysi?

(-1; 1)
(0; 3)
(-1; 0)
(−∞; −1)

Javobni ko'rish

(−∞; −1)

#298

y = x^2 + 2x − 2 funksiyaning o'sish oralig'i qaysi?

(0; 3)
(-1; 0)
(−1; +∞)
(-1; 1)

Javobni ko'rish

(−1; +∞)

#299

y = x^2 + 2x − 2 funksiyaning kamayish oralig'i qaysi?

(−∞; −1)
(-1; 1)
(-1; 0)
(0; 3)

Javobni ko'rish

(−∞; −1)

#300

y = x^2 + 2x + 4 funksiyaning o'sish oralig'i qaysi?

(0; 3)
(-1; 0)
(−1; +∞)
(-1; 1)

Javobni ko'rish

(−1; +∞)

#301

y = x^2 + 2x + 4 funksiyaning kamayish oralig'i qaysi?

(-1; 1)
(−∞; −1)
(0; 3)
(-1; 0)

Javobni ko'rish

(−∞; −1)

#302

y = 4x − x^2 funksiyaning o'sish oralig'i qaysi?

(0; 3)
(−∞; 2)
(−1; +∞)
(-1; 1)

Javobni ko'rish

(−∞; 2)

#303

y = 6 + 4x − x^2 funksiyaning o'sish oralig'i qaysi?

(0; 3)
(−∞; 2)
(−1; +∞)
(-1; 1)

Javobni ko'rish

(−∞; 2)

#304

y = 10 + 4x − x^2 funksiyaning o'sish oralig'i qaysi?

(0; 3)
(−1; +∞)
(−∞; 2)
(-1; 1)

Javobni ko'rish

(−∞; 2)

#305

y = 4x − x^2 funksiyaning kamayish oralig'i qaysi?

(−∞; 2)
(2; +∞)
(-1; 1)
(0; 3)

Javobni ko'rish

(−∞; 2)

#306

y = 6 + 4x − x^2 funksiyaning kamayish oralig'i qaysi?

(2; +∞)
(−∞; 2)
(0; 3)
(-1; 1)

Javobni ko'rish

(−∞; 2)

#307

y = 10 + 4x − x^2 funksiyaning kamayish oralig'i qaysi?

(-1; 1)
(0; 3)
(−∞; 2)
(2; +∞)

Javobni ko'rish

(−∞; 2)

#308

y = 1 / (x − 2) funksiyaning vertikal assimptotasi qaysi?

x = 0
x = 3
x = 1
x = 2

Javobni ko'rish

x = 2

#309

y = 1 / (x − 3) funksiyaning vertikal assimptotasi qaysi?

x = 0
x = 7
x = 1
x = 3

Javobni ko'rish

x = 3

#310

𝑥+1 funksiyaning vertikal assimptotasini toping.

x=-1
x=3
x=0
x=2

Javobni ko'rish

x=-1

#311

𝑦= 𝑥^2 −2𝑥 funksiya qaysi nuqtada ekstremumga erishadi?

Javobni ko'rish

x=1

#312

𝑦= 𝑥^2 −3𝑥 funksiya qaysi nuqtada ekstremumga erishadi?

x=7
x=1.5
x=2
x=6

Javobni ko'rish

x=1.5

#313

𝑦= 𝑥^2 −2𝑥+ 5 funksiya qaysi nuqtada ekstremumga erishadi?

Javobni ko'rish

x=1

#314

𝑦= 𝑥^2 −2𝑥−3 funksiya qaysi nuqtada ekstremumga erishadi?

Javobni ko'rish

x=1

#315

𝑦= 𝑥^2 + 2𝑥 funksiya qaysi nuqtada ekstremumga erishadi?

x=6
x=7
x=2
x=-1

Javobni ko'rish

x=-1

#316

𝑦= 𝑥^2 −4𝑥 funksiya qaysi nuqtada ekstremumga erishadi?

Javobni ko'rish

x=1

#317

Berilgan funksiyalardan qaysi biri ekstremumga ega emas?

𝑦= 𝑥^3 −3𝑥
y=5x-1
𝑦= 3𝑥−𝑥^2
𝑦= 𝑥^2

Javobni ko'rish

y=5x-1

#318

Berilgan funksiyalardan qaysi biri ekstremumga ega emas?

y=3x
𝑦= 3𝑥^2
𝑦= 2𝑥−𝑥^2
𝑦= 𝑥^3 −3𝑥

Javobni ko'rish

y=3x

#319

Berilgan funksiyalardan qaysi biri ekstremumga ega emas?

𝑦= 𝑥^3 −3𝑥
𝑦= 𝑥^2
𝑦= 2𝑥−𝑥^2
y=5

Javobni ko'rish

y=5

#320

Berilgan funksiyalardan qaysi biri ekstremumga ega emas?

𝑦= 6𝑥^3
𝑦= 1 −𝑥^2
𝑦= 2𝑥^3 −3𝑥
𝑦= 2𝑥−𝑥^2

Javobni ko'rish

𝑦= 2𝑥−𝑥^2

#321

I tur xosmas integral qaysi javobda berilgan?

∫(1/x^2) dx from -1 to infinity
to’g’ri javob keltirilmagan
∫sin(x)dx from 0 to pi/2
∫2x dx

Javobni ko'rish

∫(1/x^2) dx from -1 to infinity

#322

Xosmas integralni yaqinlashishga tekshiring: ∫(1/(x^2+1)) dx from 1 to infinity

to’g’ri javob keltirilmagan
yaqinlashuvchi
uzoqlashuvchi
qiymati 0 ga teng

Javobni ko'rish

yaqinlashuvchi

#323

Xosmas integralni yaqinlashishga tekshiring: ∫(1/x^2) dx from 1 to infinity

to’g’ri javob keltirilmagan
yaqinlashuvchi
uzoqlashuvchi
qiymati 0 ga teng

Javobni ko'rish

yaqinlashuvchi

#324

𝑦= 3𝑥^2 + 5𝑥+ 6 bo`lsa, y'(2) ni toping.

Javobni ko'rish

#325

𝑦= - (1/√x^3) bo`lsa, y'(1) ni toping.

Javobni ko'rish

2/3

#326

s(t) = 3√t + 1 qonun bo`yicha harakatlanayotgan jismning t=8 paytdagi oniy tezligini toping.

Javobni ko'rish

1/2

#327

f(x) = (x-1)^10 * (x+2)^5 bo`lsa, f'(x) = 0 tenglamani ildizlari ko`paytmasini aniqlang.

Javobni ko'rish

#328

𝑦= x^3 * e^x bo`lsa, y'(2) ni toping.

20e^2
e^2
4e^2
5e^2

Javobni ko'rish

20e^2

#329

𝑦= x^2 / (x+1) funksiyaning hosilasini toping.

(x)/(x+1)^2
1/(x+1)^2
(x(x+2))/(x+1)^2
(x+2)/(x+1)^2

Javobni ko'rish

(x(x+2))/(x+1)^2

#330

f(x) = e^(3x-2) - ln(2x+1) bo`lsa, f'(1) ni toping.

3e
3e + 2/3
2/3
3e^(-2/3)

Javobni ko'rish

3e^(-2/3)

#331

f(x) = 2√x * e^(-x) bo`lsa, f'(x) ni toping.

1/√x + e^(-x)
e^(-x)/√x
2√x * e^(-x)
e^(-x) * (1-2x)/√x

Javobni ko'rish

e^(-x) * (1-2x)/√x

#332

f(x) = 2^(-x) * sin(x) bo`lsa, f'(0) ni hisoblang.

1
1
ln(2)
ln(2)e

Javobni ko'rish

ln(2)

#333

f(x) = (1+sin(x))/cos(x) bo`lsa, f'(0) ni toping.

Javobni ko'rish

#334

f(x) = (1+cos(2x))/sin(2x) bo`lsa, f'(x) ni toping.

sin^2(x)
1/cos^2(x)
1/sin^2(2x)
1/sin^2(x)

Javobni ko'rish

1/sin^2(x)

#335

f(x) = 2x^2 - ln(x) bo`lsa, f'(x) > 0 tengsizlikni yeching.

x > 0
1/2 < x < 1
x > 1/2
x >= 1

Javobni ko'rish

x > 1/2

#336

f(x) = x^2 * ln(x) bo`lsa, f'(x) = 0 tenglamani yeching.

e
√e
1/e
1/√e

Javobni ko'rish

1/e

#337

f(x) = x^4 - 4 ln(x) bo`lsa, f'(x) < 0 tensizligini yeching.

x >= 1
x >= 2
x < 1
0 < x < 1

Javobni ko'rish

0 < x < 1

#338

𝑦= ln(chx) funksiyaning hosilasini toping.

cthx
cthx
thx
thx

Javobni ko'rish

thx

#339

𝑦= thx + cthx funksiyaning hosilasini toping.

cth^2(x) - th^2(x)
th^2(x) - cth^2(x)
0
th^2(x) + cth^2(x)

Javobni ko'rish

cth^2(x) - th^2(x)

#340

𝑦= 𝑎𝑟𝑐𝑠𝑖𝑛( 𝑡ℎ𝑥) funksiyaning hosilasini toping.

1 𝑡ℎ𝑥
1 𝑐ℎ𝑥
2 𝑐ℎ𝑥
− 1 𝑐ℎ𝑥

Javobni ko'rish

− 1 𝑐ℎ𝑥

#341

𝑦= √1 + 𝑠ℎ24𝑥 funksyaning hosilasini toping.

4𝑠ℎ4𝑥
4𝑠ℎ4𝑥
2𝑠ℎ4𝑥
𝑠ℎ4𝑥

Javobni ko'rish

4𝑠ℎ4𝑥

#342

𝑦= √𝑥2 3 funksyaning differensialini toping.

2 √𝑥 3𝑑𝑥
2 5√𝑥𝑑𝑥
2 3 √𝑥 3𝑑𝑥
1 3√𝑥𝑑𝑥

Javobni ko'rish

2 3 √𝑥 3𝑑𝑥

#343

𝑦= 𝑥3 −3𝑥2 + 3𝑥 funksyaning differensialini toping.

3(𝑥−1)2
2(𝑥−2)2
3(𝑥−1)
3(𝑥+ 3)

Javobni ko'rish

3(𝑥−1)2

#344

𝑦= √1 + 𝑥2 funksyaning differensialini toping.

𝑥𝑑𝑥 4√3+𝑥
𝑥𝑑𝑥 √1−𝑥
𝑥𝑑𝑥 √3+𝑥2
𝑥𝑑𝑥 √1+𝑥2

Javobni ko'rish

𝑥𝑑𝑥 √1+𝑥2

#345

𝑠= 𝑔𝑡2 2 funksyaning differensialini toping.

𝑔𝑡𝑑𝑡
𝑔𝑡2𝑑𝑡
𝑔2𝑡𝑑𝑡
𝑔𝑡𝑑𝑡

Javobni ko'rish

𝑔𝑡𝑑𝑡

#346

𝑥= 1 𝑡2 funksyaning differensialini toping.

2𝑑𝑡 𝑡3
𝑑𝑡 𝑡3
2𝑑𝑡 𝑡3
𝑑𝑡 𝑡2

Javobni ko'rish

2𝑑𝑡 𝑡3

#347

𝑑(𝑠𝑖𝑛2 𝑡) ni toping.

𝑠𝑖𝑛2 𝑡𝑑𝑡
𝑠𝑖𝑛𝑡𝑑𝑡
2𝑠𝑖𝑛2 𝑡𝑑𝑡
3𝑠𝑖𝑛2 𝑡𝑑𝑡

Javobni ko'rish

𝑠𝑖𝑛2 𝑡𝑑𝑡

#348

𝑑(1 −𝑐𝑜𝑠𝑢) ni toping.

2𝑠𝑖𝑛𝑢𝑑𝑢
𝑠𝑖𝑛𝑢𝑑𝑢
1-𝑠𝑖𝑛𝑢𝑑𝑢
𝑠𝑖𝑛𝑢𝑑𝑢

Javobni ko'rish

𝑠𝑖𝑛𝑢𝑑𝑢

#349

𝑑( 𝑥 𝑎+ 𝑎𝑟𝑐𝑡𝑔 𝑥 𝑎) ni toping.

𝑑𝑥 𝑥2(1+𝑥2)
𝑎3𝑑𝑥 𝑥2(𝑎2+𝑥2)
𝑑𝑥 𝑥2(𝑎2+𝑥2)
𝑎3𝑑𝑥 𝑥2(𝑎2+𝑥2)

Javobni ko'rish

𝑎3𝑑𝑥 𝑥2(𝑎2+𝑥2)

#350

𝑑(𝛼+ 𝑙𝑛𝛼) ni toping.

(𝛼+1)𝑑𝛼 2
𝑑𝛼 𝛼
(𝛼−1)𝑑𝛼 𝛼
(𝛼+1)𝑑𝛼 𝛼

Javobni ko'rish

(𝛼+1)𝑑𝛼 𝛼

#351

𝑑(𝑐𝑜𝑠 𝜑 2) ni toping.

1 2 𝑠𝑖𝑛 𝜑 2 𝑑𝜑
𝑠𝑖𝑛 𝜑 2 𝑑𝜑
1 4 𝑠𝑖𝑛𝜑𝑑𝜑
1 2 𝑠𝑖𝑛 𝜑 2 𝑑𝜑

Javobni ko'rish

1 2 𝑠𝑖𝑛 𝜑 2 𝑑𝜑

#352

𝑑(𝑎𝑟𝑐𝑠𝑖𝑛 1 𝑥) ni toping.

𝑑𝑥 𝑥√𝑥2−1
𝑑𝑥 𝑥√𝑥2−1
𝑑𝑥 𝑥√𝑥−1
𝑑𝑥 √𝑥2−1

Javobni ko'rish

𝑑𝑥 𝑥√𝑥2−1

#353

𝑦= 1 𝑥− 1 𝑥2 funksyaning differensialini toping.

(2−𝑥)𝑑𝑥 𝑥3
(1−𝑥)𝑑𝑥 𝑥3
(2−𝑥)𝑑𝑥 𝑥
(2+𝑥)𝑑𝑥 𝑥3

Javobni ko'rish

(2−𝑥)𝑑𝑥 𝑥3

#354

𝑟= 𝑐𝑜𝑠(𝑎−𝑏𝜑) funksyaning differensialini toping.

𝑏𝑠𝑖𝑛𝑏𝜑𝑑𝜑
𝑏𝑠𝑖𝑛(𝑎−𝑏𝜑) 𝑑𝜑
𝑎𝑠𝑖𝑛(1 −𝑏𝜑) 𝑑𝜑
𝑠𝑖𝑛(𝑎−𝑏𝜑) 𝑑𝜑

Javobni ko'rish

𝑏𝑠𝑖𝑛(𝑎−𝑏𝜑) 𝑑𝜑

#355

𝑠= √1 −𝑡2 funksyaning differensialini toping.

𝑡𝑑𝑡 √1−𝑡2
𝑑𝑡 √1−𝑡2
𝑡𝑑𝑡 √1−𝑡2
𝑑𝑡 √1−𝑡2

Javobni ko'rish

𝑡𝑑𝑡 √1−𝑡2

#356

𝑓(𝑥) = 𝑠𝑖𝑛3 𝑥 funksiya berilgan, 𝑓″(− 𝜋 2) ni toping.

9
−9
10
8

Javobni ko'rish

−9

#357

𝑟(𝜑) = 𝜑2𝑒−𝜑 funksiya berilgan,𝑓‴(−3) ni toping.

5𝑒
7𝑒
7
7𝑒

Javobni ko'rish

7𝑒

#358

𝑓(𝑥) = 𝑥𝑒𝑥 funksiya berilgan, 𝑓‴(−3) ni toping.

Javobni ko'rish

#359

𝑟(𝜑) = 𝑐𝑜𝑠2 2 𝜑 funksiya berilgan, 𝑟‴(− 𝜋 2) ni toping.

Javobni ko'rish

#360

𝑓(𝑥) = 𝑥3 + 9𝑥2 −4 funksyaning o`sish oralig`ini ko`rsating.

𝑥≤6
𝑥≤−6, 𝑥≥0
𝑥≥0
6 ≤𝑥≤0

Javobni ko'rish

𝑥≤−6, 𝑥≥0

#361

𝑓(𝑥) = 𝑥3 −6𝑥2 + 5 funksyaning kamayish oraligini toping.

0 ≤𝑥≤4
𝑥≤0
𝑥≤0; 𝑥≥4
𝑥≥4

Javobni ko'rish

0 ≤𝑥≤4

#362

𝑓(𝑥) = 3𝑥+2 1−4𝑥 funksyaning o`sish oralig`ini toping.

𝑥< 1 4 , 𝑥> 1 4
𝑥< 1 4
𝑥> 1 4
𝑥> − 3 2 , 𝑥> − 1 4

Javobni ko'rish

𝑥< 1 4

#363

𝑓(𝑥) = 1+4𝑥 2𝑥−3 funksyaning kamayish oraligini ko`rsating.

𝑥> − 3 2 , 𝑥> − 1 4
𝑥< 3 2 , 𝑥> 3 2
𝑥< − 3 2
𝑥> 3 2

Javobni ko'rish

𝑥> 3 2

#364

𝑓(𝑥) = 𝑥5 −5𝑥2 + 8 funksyaning kamayish oraligini toping.

𝑥> √2 3
0 < 𝑥< √4 3
0 ≤𝑥≤√2 3
𝑥< √3 3

Javobni ko'rish

0 ≤𝑥≤√2 3

#365

𝑓(𝑥) = 𝑥 𝑎−𝑙𝑛𝑥, (𝑎> 0) bo`lsa 𝑓(𝑥) funksyaning monotonlik oraligini toping.

0 < 𝑥≤𝑒, 𝑥≥𝑒
0 < 𝑥≤27, 𝑥≥27
0 < 𝑥≤8, 𝑥≥8
𝑒< 𝑥≤8, 𝑥≥8

Javobni ko'rish

0 < 𝑥≤𝑒, 𝑥≥𝑒

#366

𝑓(𝑥) = 𝑥−1 𝑥2+3𝑥 funksyaning o`sish oralig`iga tegishli butun sonlarni toping.

2,3,4
1,1,2,3
0,1,2,3
1,2,3

Javobni ko'rish

1,2,3

#367

$$f(x) = 2x^4 - 2x^3$$ funksiyaning ekstremum nuqtalarini toping.

$$x=1$$ da minimum
$$x=3$$ da minimum
$$x=4$$ da minimum
$$x=3$$ da maksimum

Javobni ko'rish

$$x=1$$ da minimum

#368

$$f(x) = \frac{3}{2} x^4 + 3x^3$$ funksiyaning ekstremum nuqtalarini toping.

$$x = -2$$ da maksimum
$$x = -1$$ da minimum
$$x = -2$$ da maksimum
$$x = -\frac{5}{2}$$ da maksimum

Javobni ko'rish

$$x = -2$$ da maksimum

#369

$$f(x) = \frac{8+2x}{\sqrt{x}}$$. funksiyaning ekstremumini toping.

Javobni ko'rish

#370

$$a$$ ning qanday qiymatida $$f(x) = x^2\sqrt{a-x}$$ funksiya $$x=0$$ va $$x=6$$ nuqtalarida ekstremumga ega bo`ladi?

7
10
8
$$7\frac{1}{2}$$

Javobni ko'rish

#371

$$f(x) = x^3 - 2x^2 + x - 3$$ funksiyaning [$$ \frac{1}{2} $$; 2] kesmadagi eng katta qiymatni toping.

Javobni ko'rish

#372

$$x$$ ning qanday qiymatida $$f(x) = -x^2 + x^3$$ funksiya [$$ \frac{1}{2} $$; 2] kesmada eng kichik qiymatga erishadi?

$$ \frac{1}{2} $$
1
$$ \frac{3}{2} $$
$$ \frac{2}{3} $$

Javobni ko'rish

$$ \frac{1}{2} $$

#373

$$f(x) = \frac{4}{x+1} + x$$ funksiyaning [0; 3] kesmadagi eng kichik qiymatni toping.

3
$$2\frac{1}{3}$$
4
$$3\frac{1}{2}$$

Javobni ko'rish

#374

$$y= x^4 -10x^3 + 36x^2 -31x-37$$ funksiya grafigining qavariqlik oralig`ini toping.

(1;3)
(0;-3)
(2;3)
(-2;-3)

Javobni ko'rish

(1;3)

#375

$$y=\frac{x-7}{x+2}$$ funksiya grafigining botiqlik oralig`ini toping.

(2; +∞)
(-∞; -2)
(-1; -2)
(-∞; -1)

Javobni ko'rish

(-∞; -2)

#376

$$y=\frac{x}{x^2+1}$$ funksiya grafigining qavariqlik oralig`ini toping.

(-∞; -√3)
(0; √3)
(−∞; −√3) ∪(0; √3)
(-∞;√3)

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(−∞; −√3) ∪(0; √3)

#377

$$y= x\sqrt{x}-8x+ 4$$ funksiya grafigining qavariqlik oralig`ini toping.

(-2; + ∞)
(0; 2)
(1; + ∞)
(0; + ∞)

Javobni ko'rish

(0; 2)

#378

$$y= x^2 - \frac{1}{x}$$ funksiya grafigining botiqlik oralig`ini toping.

(0; 3)
(0; 1)
(-1; 1)
(-∞; 1)

Javobni ko'rish

(0; 1)

#379

$$y= \ln(1 + x^2)$$ funksiya grafigining qavariqlik oralig`ini toping.

(-3; 1)
(-2; 2)
(-1; 1)
(-1; 0)

Javobni ko'rish

(-1; 1)

#380

$$y= x\ln x$$ funksiya grafigining botiqlik oralig`ini toping.

(0; 3)
(0; +∞)
(-2; +∞)
(0; 6)

Javobni ko'rish

(0; +∞)

#381

$$y= x + \mathrm{arctg} x$$ funksiya grafigining botiqlik oralig`ini toping.

(-1; 3)
(-1; +∞)
(0; 4)
(0; +∞)

Javobni ko'rish

(0; +∞)

#382

$$y= x^3 - x^2$$ funksiya grafigining bukilish nuqtalarini toping.

P(1; 2)
P($$\frac{1}{3} $$; -$$ \frac{2}{27} $$)
P($$\frac{1}{3} $$; $$ \frac{1}{27} $$)
P($$\frac{2}{3} $$; -$$ \frac{2}{27} $$)

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P($$\frac{2}{3} $$; -$$ \frac{2}{27} $$)

#383

$$y=\frac{x}{x^2-1}$$ funksiya grafigining bukilish nuqtalarini toping.

(0; 0)
(1; 0)
(-1; -1)
(1; 1)

Javobni ko'rish

(0; 0)

#384

Funksya aniqlanish sohasini toping: $$f(x; y) = \frac{1}{x^2+y^2-4}$$

boshqa javob
R
$$x^2 + y^2 \neq 4$$
$$x^2 + y^2 + 4 \neq 0$$

Javobni ko'rish

$$x^2 + y^2 \neq 4$$

#385

$$g(x; y) = \ln(y-x^2)$$ funksiya aniqlanish sohasini toping.

$$y > x^2$$
$$y \neq x^2$$
$$y= x^2$$
boshqa javob

Javobni ko'rish

$$y > x^2$$

#386

$$\varphi(x; y) = \sqrt{4 -x^2 -y^2}$$ funksiyaning aniqlanish sohasini toping.

$$x^2 - y^2 = 4$$
$$x^2 + y^2 = 4$$
$$x^2 + y^2 \leq 4$$
$$x^2 + y^2 \geq 4$$

Javobni ko'rish

$$x^2 + y^2 \leq 4$$

#387

$$z(x; y) = \frac{x}{\sqrt{y-2}}$$. aniqlanish sohasi qanday oraliq bo’ladi.

R
y<2
boshqa javob
y>2

Javobni ko'rish

y>2

#388

$$f(x; y) = x^2y+ xy^2$$ funksiyaning $$\frac{\partial f}{\partial x}$$ xuusiy hosilasini toping.

$$xy+ 2xy^2$$
$$2xy+ y^2$$
$$y+ 2y x^2$$
boshqa javob

Javobni ko'rish

$$2xy+ y^2$$

#389

$$f(x; y) = x^3y^2$$ funksiyaning $$\frac{\partial f}{\partial y}$$ xususiy hosilani toping.

boshqa javob
$$2x y$$
$$2x^3y$$
$$2x y^3$$

Javobni ko'rish

$$2x^3y$$

#390

$$f(x; y) = e^{xy}$$ funksiyaning $$\frac{\partial f}{\partial x}$$ xususiy hosilani toping.

$$e^{xy}$$
$$x e^{xy}$$
$$y e^{xy}$$
boshqa javob

Javobni ko'rish

$$y e^{xy}$$

#391

$$f(x; y) = \ln(x+ y)$$ funksiyaning $$\frac{\partial f}{\partial y}$$ xususiy hosilani toping.

$$\frac{1}{x}$$
$$0$$
$$\frac{1}{y}$$
$$\frac{1}{x+y}$$

Javobni ko'rish

$$\frac{1}{x+y}$$

#392

𝑓(𝑥,𝑦)=sin(𝑥𝑦) funksiyaning ∂𝑓/∂𝑥 xususiy hosilasini toping.

x cos(𝑥𝑦)
y cos(𝑥𝑦)
boshqa javob
x y cos(𝑥𝑦)

Javobni ko'rish

y cos(𝑥𝑦)

#393

𝑓(𝑥,𝑦)=𝑥^2 + 3𝑥𝑦 + 𝑦^2 funksiyaning ∂𝑓/∂𝑦 hosilasini toping.

boshqa javob
3x+4y
2x+3y
3x+2y

Javobni ko'rish

3x+2y

#394

𝑓(𝑥,𝑦)=𝑥^4 + 𝑦^4 funksiyaning ∂𝑓/∂𝑥 hosilasini toping.

4𝑦^3
4x
boshqa javob
4𝑥^3

Javobni ko'rish

4𝑥^3

#395

𝑓(𝑥,𝑦)=𝑥^3 + 𝑦^3 − 3𝑥𝑦 funksiyaning 𝑓'_x xususiy hosilasini toping.

𝑓'_x = 3𝑥^2 + 3𝑥
𝑓'_x = 3𝑥^2 + 3𝑦^3
𝑓'_x = 3𝑥^2 − 3𝑦
𝑓'_x = 3𝑥 + 2𝑦

Javobni ko'rish

𝑓'_x = 3𝑥^2 − 3𝑦

#396

𝑓(𝑥,𝑦)=𝑥^2 𝑦 funksiyaning ∂^2𝑓/∂𝑥^2 hosilasini toping.

xy
2x
2y
boshqa javob

Javobni ko'rish

#397

𝑓(𝑥,𝑦)=𝑥^3 + 𝑦^3 funksiyaning ∂^2𝑓/∂𝑥∂𝑦 aralash hosilasini toping.

0
boshqa javob
3𝑥^2
3𝑦^2

Javobni ko'rish

#398

Sinfda 30 o’quvchi bor. Shu sinfda sardor va sport tashkilotchisini necha xil usul bilan tanlash mumkin?

Javobni ko'rish

870

#399

10 ta turli raqamdan foydalanib va raqamlarni takrorlamasdan nechta 3 xonali son tuzish mumkin?

Javobni ko'rish

648

#400

P3- ni xisoblang?

Javobni ko'rish

#401

10 ta talabadan iborat guruhga ikkita bir xil yo’llanma ajratildi. Bu yo’llanmalarni necha xil usul bilan tarqatish mumkin?

Javobni ko'rish

#402

A^3_5 -ni xisoblang?

Javobni ko'rish

#403

A^4_5 -ni xisoblang?

Javobni ko'rish

#404

A^2_6 -ni xisoblang?

Javobni ko'rish

#405

A^3_6 -ni xisoblang?

Javobni ko'rish

#406

A^4_8 -ni xisoblang?

70
140
8!
1680

Javobni ko'rish

1680

#407

A^2_8 -ni xisoblang?

Javobni ko'rish

#408

A^2_7 -ni xisoblang?

Javobni ko'rish

#409

C^1_4 -ni xisoblang?

Javobni ko'rish

#410

C^2_4 -ni xisoblang?

Javobni ko'rish

#411

C^2_5 -ni xisoblang?

Javobni ko'rish

#412

C^3_7 -ni xisoblang?

Javobni ko'rish

#413

C^2_7 -ni xisoblang?

Javobni ko'rish

#414

C^3_5 -ni xisoblang?

Javobni ko'rish

#415

P4- ni xisoblang?

Javobni ko'rish

#416

P2- ni xisoblang?

Javobni ko'rish

#417

P5- ni xisoblang?

Javobni ko'rish

120

#418

P6- ni xisoblang?

Javobni ko'rish

720

#419

Qopda 10 ta qora, 18 ta sariq va 12 ta ko’k shar bor. Tasodifiy olingan sharning qora chiqish ehtimolligi toping.

10/39
1/2
1/3
1/4

Javobni ko'rish

10/39

#420

Qopda 15 ta qora, 17 ta sariq va 13 ta ko’k shar bor. Tasodifiy olingan sharning qora chiqish ehtimolligi toping.

1/2
1/3
17/45
1/4

Javobni ko'rish

17/45

#421

Qopda 9 ta qora, 5 ta sariq va 10 ta ko’k shar bor. Tasodifiy olingan sharning ko’k chiqish ehtimolligi toping.

5/24
10/24
9/24
1/2

Javobni ko'rish

10/24

#422

Qopda 17 ta qora 28 ta sariq 19 ta ko’k shar bor. Qopga qaralmasdan tavakkaliga olingan sharning sariq chiqish ehtimolligi toping?

$\frac{28}{64}$
$\frac{19}{64}$
$\frac{17}{64}$
$\frac{7}{16}$

Javobni ko'rish

$\frac{28}{64}$

#423

Qopda 15 ta qora 18 ta sariq 17 ta ko’k shar bor. Qopga qaralmasdan tavakkaliga olingan sharning sariq chiqish ehtimolligi toping?

$\frac{18}{74}$
$\frac{17}{52}$
$\frac{19}{50}$
$\frac{9}{25}$

Javobni ko'rish

$\frac{17}{52}$

#424

Quyidagi ifodaning qiymatini toping: $\frac{15!}{13!}$ ?

Javobni ko'rish

210

#425

Quyidagi ifodaning qiymatini toping: $\frac{9!}{7!}$ ?

Javobni ko'rish

#426

Quyidagi ifodaning qiymatini toping: $\frac{13!}{11!}$ ?

Javobni ko'rish

156

#427

Quyidagi ifodaning qiymatini toping: $\frac{12!}{10!}$ ?

Javobni ko'rish

132

#428

Quyidagi ifodaning qiymatini toping: $\frac{3!\cdot19!}{18!}$ ?

Javobni ko'rish

#429

Quyidagi ifodaning qiymatini toping: $9!-8!$ ?

$9!$
$8\times8!$
$8!$
$9\times8!$

Javobni ko'rish

$8\times8!$

#430

Kub shaklidagi tosh bir marta tashlanganda juft son tushish ehtimolligini toping?

$\frac{1}{3}$
$\frac{1}{4}$
$\frac{1}{2}$
$\frac{1}{6}$

Javobni ko'rish

$\frac{1}{2}$

#431

Kub shaklidagi tosh bir marta tashlanganda 7 son tushish ehtimolligini toping?

$\frac{1}{2}$
0
$\frac{1}{6}$
$\frac{1}{3}$

Javobni ko'rish

$\frac{1}{6}$

#432

Kub shaklidagi tosh bir marta tashlanganda toq son tushish ehtimolligini toping?

$\frac{1}{4}$
$\frac{1}{6}$
$\frac{1}{2}$
$\frac{1}{3}$

Javobni ko'rish

$\frac{1}{2}$

#433

Kub shaklidagi tosh bir marta tashlanganda 3 soni tushish ehtimolligini toping?

$\frac{1}{4}$
$\frac{1}{3}$
$\frac{1}{2}$
$\frac{1}{6}$

Javobni ko'rish

$\frac{1}{6}$

#434

Tanga 2 marta tashlandi. Ikkovi ham gerb tushish ehtimolligini toping?

$\frac{1}{4}$
$\frac{1}{8}$
$\frac{1}{6}$
$\frac{1}{2}$

Javobni ko'rish

$\frac{1}{4}$

#435

Tanga 2 marta tashlandi. Ikkovi ham raqam tushish ehtimolligini toping?

$\frac{1}{2}$
$\frac{1}{6}$
$\frac{1}{8}$
$\frac{1}{4}$

Javobni ko'rish

$\frac{1}{4}$

#436

Tanga 2 marta tashlandi. Ikkovi ham har xil tushish ehtimolligini toping?

$\frac{1}{4}$
$\frac{1}{2}$
$\frac{1}{6}$
$\frac{1}{8}$

Javobni ko'rish

$\frac{1}{2}$

#437

Berilgan tanlanma (–3,1,2,3,1,4,–5) uchun variatsion qatorni tuzing.

$-1,2,3$
$-5,3,2$
$2,3,4$
$-5,-3,1,1,2,3,4$

Javobni ko'rish

$-5,-3,1,1,2,3,4$

#438

Berilgan tanlanma (3,–3,1,2,3,1,4,–5) uchun variatsiya qulochini toping.

Javobni ko'rish

R=9

#439

Berilgan tanlanma (–3,1,2,3,1,4,–5) uchun modani toping.

Javobni ko'rish

#440

Variatsiya qulochini toping (–3,2,1,–2).

Javobni ko'rish

R=5

#441

Quyidagi 2,3,4,5,7 variatsion qator medianasini toping.

Javobni ko'rish

#442

Quyidagi 2,3,4,5,6,7,8,5,5,3,5,3,4,5,6,8 variatsion qator modasini toping.

Javobni ko'rish

#443

Berilgan tanlanma (–3,1,2,3,2,4,–5) uchun variatsion qatorni tuzing.

$-2,2,3$
$-4,5,6$
$1,3,4$
$-5,-3,1,2,2,3,4$

Javobni ko'rish

$-5,-3,1,2,2,3,4$

#444

Berilgan tanlanma (2,–4,1,5,3,1,4,-6) uchun variatsiya qulochini toping.

R=8
R=10
R=9
R=11

Javobni ko'rish

R=11

#445

Berilgan tanlanma (–4,2,2,3,1,2,–5) uchun modani toping.

Javobni ko'rish

#446

Variatsiya qulochini toping (–4,2,3,–2).

Javobni ko'rish

R=7

#447

Quyidagi 2,3,5,5,7 variatsion qator medianasini toping.

Javobni ko'rish

#448

Quyidagi 1,3,3,4,5,6,3,4,3,2,3,2,3,4,5,7 variatsion qator modasini toping.

Javobni ko'rish