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If intf(x)sinxcosxdx=(1)/(2(b^(2)-a^(2))...

If `intf(x)sinxcosxdx=(1)/(2(b^(2)-a^(2)))log{f(x)}+C` then f(x) is equal to

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

Verified by Experts

The correct Answer is:
a
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