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Evaluate the integrals int0pi/2(sinx)/(1...

Evaluate the integrals `int0pi/2(sinx)/(1+cos^2x)dx`

A

`pi/4`

B

0

C

`pi/2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Given `I=int_0^(pi/2)(sinx)/(1+cos^2x)dx`.......(1)
put `cosx=t`
Differentiating w.r.t x
`-sinx=(dt)/(dx)`
...
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