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Omni-MATH / Suppose that f is a function from R to R such that f(x)+f(1−(1)/(x))=arctanx for all real x≠0. (As usual, y=arctanx means −π/2<y<π/2 and tany=x.) Find ∫₀¹f(x) dx. · Discussion

Discussing Suppose that f is a function from R to R such that f(x)+f(1−(1)/(x))=arctanx for all real x≠0. (As usual, y=arctanx means −π/2<y<π/2 and tany=x.) Find ∫₀¹f(x) dx. · Omni-MATH

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