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2. Assume that f(x) is continuous on [-1, 1]. a) By making the substitution u = 7 -x, show that TT xf (sin x) dx

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2. Assume that f(x) is continuous on [-1, 1]. a) By making the substitution u = 7 -x, show that TT xf (sin x) dx = f (sin x) dx . o 2 r sinc b) Use part (a) to evaluate the integral d.x. 1 + cos2 x

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