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If int f(x) sin x cos x dx = 1/(2(b^2 - ...

If `int f(x) sin x cos x dx = 1/(2(b^2 - a^2)) log f(x) + c` then `f(x) =`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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