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

B

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

C

`(1)/(3(1 + tan^3 X))+C`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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