The nth term of the coresponding series of `int_0^1 tan^-1 x dx` is (A) `pi/(4n)` (B) `(1/n)tan^(-1)(n-1)` (C) `pi/(2n)` (D) `tan^(-1)(n)`

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If I_n=int_0^(pi/4) tan^n x dx , ( n > 1 and is an integer), then

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Prove that: tan^(-1)(m/n)+tan^(-1)((n-m)/(n+m))=[pi/4; m^(2)/n^(2) > -1