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int (sin x cos^(3) x)/(1+cos^(2)x)dx=...

`int (sin x cos^(3) x)/(1+cos^(2)x)dx=`

A

`(-1)/(2)(cos^(2)x)+(1)/(2)log(1+cos^(2)x)+c`

B

`(1)/(2)(1+cos^(2)x)-(1)/(2)log(1+cos^(2)x)+c`

C

`(1)/(2)(1+cos^(2)x)+(1)/(2)log(1+cos^(2)x)+c`

D

`(-1)/(2)(1+cos^(2)x)-(1)/(2)log(1+cos^(2)x)+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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