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Suppose f is 2-periodic and integrable on any finite interval. Prove that if a, b = R, then Also prove that L a f(x)

Suppose f is 2-periodic and integrable on any finite interval. Prove that if a, b = R, then Also prove that L a f(x) dx = pb+2 a+2 [ f(x + a) dx = -T f(x) dx = TT -T f(x) dx = b-2 a-2 f(x) dx. +a -+a f(x) dx.

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