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If I=int (sin x + sin^(3)x)/(cos 2x) dx=...

If `I=int (sin x + sin^(3)x)/(cos 2x) dx= A cos x + B log |f(x) |+c`, then-

A

`A=(1)/(4), B=(1)/(sqrt(2)), f(x)=(sqrt(2) cos x-1)/(sqrt(2) cos x+1)`

B

`A=(1)/(2), B=(-3)/(4sqrt(2)), f(x)=(sqrt(2) cos x-1)/( sqrt(2) cos x+1)`

C

`A=(-1)/(2), B=(3)/(sqrt(2)), f(x) =(sqrt(2) cos x+1)/(sqrt(2) cos x-1)`

D

`A=(1)/(2), B=(3)/(4sqrt(2)), f(x) =(sqrt(2) cos x +1)/(sqrt(2) cos x-1)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
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