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

If `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))sin 2x)`

B

2/(ab sin 2x)

C

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

D

2/(ab cos 2x)

Text Solution

Verified by Experts

The correct Answer is:
C
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