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

If `int f(x) sin xcos x dx=(1)/(2(b^(2)-a^(2))``*(log f(x))+C`, where C is a costant of integration, then f(x)=

A

`(2)/((b^(2)-a^(2))sin2x)`

B

`(2)/(ab sin 2x)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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