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If int(dx)/(4-3cos^(2)x+5sin^(2)x)=(1)/(...

If `int(dx)/(4-3cos^(2)x+5sin^(2)x)=(1)/(3)f(3tanx)+C` then f(x) is equal to

A

`3 tan^(-1) x`

B

`x^(2)`

C

`x^(2) + 1`

D

`tan^(-1) x`

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The correct Answer is:
D
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