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Let I=int(0)^(pi//2)(dx)/(1+sin x), then...

Let `I=int_(0)^(pi//2)(dx)/(1+sin x)`, then `int_(0)^(pi)(x^(2)cos x)/((1+sin x)^(2))dx` .

A

`-pi^(2)`

B

`pi^(2)-2pi I`

C

`2pi I`

D

`2pi I - pi^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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