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int(1)/(sqrt(sin^(2)x cos^(2)x-sin^(4)x)...

`int(1)/(sqrt(sin^(2)x cos^(2)x-sin^(4)x))dx=`

A

`cos^(-1)(cotx)+c`

B

`cos^(-1)(cotx+c`

C

`-log(cotx+sqrt(cot^(x)-1))+c`

D

`sin^(-1)(sqrt(cot^(2)x-1))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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