If f(x)=tan^(-1)x-2/pi(tan^(-1)x)^2+4/pi...

If `f(x)=tan^(-1)x-2/pi(tan^(-1)x)^2+4/pi^2(tan^(-1)x)^3-.....oo`, then the sum of integral values of a for which the equation `f^2(x)+(sin^(-1)x)^2=a`, possess solution, is:

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