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IMC 1996 Problem 2

Source: IMC 1996

March 5, 2021
calculusintegrationreal analysis

Problem Statement

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.
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