olymmath

IMC 1996 Problem 2

    Evaluate the definite integral ∫−ππsin⁡nx(1+2x)sin⁡xdx,\int_{-\pi}^{\pi}\frac{\sin nx}{(1+2^{x})\sin x} dx, where nn is a natural number.

    Dataset text AI-MO AoPS. Quoted with source.

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