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

If `intf(x)sinxcosxdx=1/(2(b^(2)-a^(2)))logf(x)+c`,
where c is the constant of integration, then f(x)=

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)`

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The correct Answer is:

A

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