3. Let f : R R be a periodic function with period 2a. Define F(x) = f(t)dt. (a)Is F(x) always a periodic function? Under what condition is F(x) periodic? (b)Assume that f has Fourier expansion ao +E1(an cos()+b, sin(")). What is the Fourier coefficient for F(x) (assuming it is periodic)?

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