#3: Suppose that f(x) is the sum of the Fourier series 4+6n = f(x) + Σ sin(nx) n=1 1+n² +5 sin.x + 16 sin(2x) + ¼ sin(3x) +···, −π < x < π. Compute the integral 1 * f(x)(1 + sin(2x)) dx -π (A) 267 (B) 28 (C) 31 (D) 29 (E) 33
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