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The integral int(sin^(2)xcos^(2)x)/(si...

The integral
`int(sin^(2)xcos^(2)x)/(sin^(5)x+cos^(3)xsin^(2)x+sin^(3)xcos^(2)x+cos^(5)x)^(2)dx` is equal to
(where c is a constant of integration)

A

`(-1)/(3(1+tan^(3)x))+c`

B

`1/(1+cot^(3)x)+c`

C

`(-1)/(1+cot^(3)x)+c`

D

`1/(3(1+tan^(3)x))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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