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Iff(x)sinxcosxdx=1/(2(b^2-a^2))lnf(x)+c ...

`Iff(x)sinxcosxdx=1/(2(b^2-a^2))lnf(x)+c ,t h e nf(x)i se q u a lto` `1/(a^2sin^2x+b^2cos^2x)` (b) `1/(a^2sin^2x-b^2cos^2x)` `1/(a^2cos^2x+b^2cos^2x)` (d) `1/(a^2cos^2x-b^2cos^2x)`

A

`(1)/(ab)tan^(-1)((atan x)/(b))+c`

B

`ab tan^(-1)((atanx)/(b))+c`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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