(a) Show that if f is a continuous function on R, then for any real number...

 

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(a) Show that if f is a continuous function on R, then for any real number a, ["* f(x) dx = ["f(a x) dx. S (b) Use the result in part (a) to prove that sin (2kx) J sin x where k is an integer. dx = 0 (a) Show that if f is a continuous function on R, then for any real number a, ["* f(x) dx = ["f(a x) dx. S (b) Use the result in part (a) to prove that sin (2kx) J sin x where k is an integer. dx = 0