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int \ dx/(a^2 sin^2x + b^2 cos^2x)...

`int \ dx/(a^2 sin^2x + b^2 cos^2x)`

A

`a^(2)/b^(2)logabs(asin^(2)x+bcos^(2)x)+c`

B

`1/(ab)tan^(-1)(a/btanx)+c`

C

`tan^(-1)(tan(x/2)/(2sqrt(3)))+c`

D

`tan^(-1)(tan(x/2)/sqrt(3))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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