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

The integral `int(sin^(2)xcos^(2)x)/((sin^(3)x+cos^(3)x)^(2))dx` is equal to

A

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

B

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

C

`(sin^(3)x)/((1+cos^(3)x))+c`

D

`(-cos^(3)x)/(3(1+sin^(3)x))+c`

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The correct Answer is:

2

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