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Let `f(x)` be a continuous function for all `x`, which is not identically zero such that `{f(x)}^2=int_0^x\ f(t)\ (2sec^2t)/(4+tant)\ dt and f(0)=ln4,` then

A

`f((pi)/(4))=log(5)/(4)`

B

`f((pi)/(4))=(3)/(4)`

C

`f((pi)/(2))=2`

D

None of these

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The correct Answer is:
A
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