(25 points) Assume that f(x) is piecewise continuous and has mean zero on the interval [-7,7]. Show that its integrated

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25 Points Assume That F X Is Piecewise Continuous And Has Mean Zero On The Interval 7 7 Show That Its Integrated 1 (228.75 KiB) Viewed 16 times

(25 points) Assume that f(x) is piecewise continuous and has mean zero on the interval [-7,7]. Show that its integrated Fourier series reads T g(x) = 5 s) dy ~ m + bk N ak Elt cos kæ + sin kx 0 + k k=1 N where M -TT 1 T TT m = 2 9(z) dir, ax = 1 L slz) cos kr dr, b = + L +(a) sin kr de, k21 g (smku gdxak 2T kx dx, TT T MT TT ETT