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int(dx)/(sin^(5)xcos^(5)x) is equal to...

`int(dx)/(sin^(5)xcos^(5)x)` is equal to

A

`(1)/(4)(tan^(4)x-cot^(4)x)+2(tan^(2)x-cot^(2)x)+C`

B

`(1)/(4)(tan^(4)x-cot^(4)x)+2(tan^(2)x-cot^(2)x)+6log|tanx|`

C

`(1)/(4)(tan^(4)x-cot^(4)x)+2(cot^(2)x-tan^(2)x)+6log|cotx|+C`

D

`(1)/(4)(cot^(4)x-tan^(4)x)+2(cot^(2)x-tan^(2)x)+6log|tan|x|+C`

Text Solution

Verified by Experts

The correct Answer is:
B
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