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int(-pi)^(pi) (2x(1 + sin x))/(1 + cos^2...

`int_(-pi)^(pi) (2x(1 + sin x))/(1 + cos^2 x) dx` is :

A

`pi^(2)/4`

B

`pi^(2)`

C

0

D

`pi/2`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
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  11. The value of I = int0^(pi//2) ((sin x + cos x)^2)/(sqrt(1 + sin 2x)) d...

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  13. If int0^pi x f (sin x)dx = A int0^(pi//2) f (sin x) dx, then A is :

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