Suppose f is 2-periodic and integrable on any finite interval. Prove that if a, b =...

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