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

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