Let f(x) be a continuous function define...

Let `f(x)` be a continuous function defined in `R` such that `(f(x))^2=int_0^xf(t).(2sec^2t)/(4+tant)dt` and `f(0)=0`, If `f(pi/4)=log(m/n)`, where `m` and `n` are positive integers having no common factor, then `m+n` is equal to…

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