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The integral (sin^(2)xcos^(2)x)/((sin^(5...

The integral `(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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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