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Antiderivative of int sin^2x/(1+ sin^2x...

Antiderivative of `int sin^2x/(1+ sin^2x)` w.r.t. `x` is

A

`x-sqrt(5)/(2)"arc " tan(sqrt(2)tanx)+C`

B

`x-1/2"arc "tan(tanx)/(sqrt(2))+C`

C

`x-sqrt(2)"arc "tan(sqrt(tanx))+C`

D

`x-sqrt(2)"arc "tan(tanx)(sqrt(2))+C`

Text Solution

Verified by Experts

The correct Answer is:
A
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