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int(sin2xcos2x)/(sin^(4)2x+cos^(4)2x)dx=...

`int(sin2xcos2x)/(sin^(4)2x+cos^(4)2x)dx=`

A

`(1)/(2)cot^(-1)(sin^(2)x)+c`

B

`(1)/(2)cot^(-1)(sin^(2)x)+c`

C

`(1)/(2)tan^(-1)(sin^(2)x)+c`

D

`-(1)/(2)cot^(-1)(sin^(2)x)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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