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if int f (x ) sin x cos x dx = (1)/(2(...

if `int f (x ) sin x cos x dx = (1)/(2(b^(2) -a^(2))` log f(x ) + c where C is a constant of intergration then f(x) =

A

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

B

`(2)/(ab si n 2 x)`

C

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

D

`(2 )/(ab cos 2 x)`

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The correct Answer is:
C
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