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int (sinx . cosx)/(a^(2)cos^(2)x+b^(2)si...

`int (sinx . cosx)/(a^(2)cos^(2)x+b^(2)sin^(2)x) dx `

A

`1/(a^(2)-b^(2))log (a^(2)cos^(2)x+b^(2)sin^(2)x)`

B

`-1/(2(a^(2)-b^(2)))log (a^(2)cos^(2)x+b^(2)sin^(2)x)`

C

`tan^(-1)((btanx)/a))`

D

`tan^(-1)((b cot x)/a))

Text Solution

Verified by Experts

The correct Answer is:
B
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