Question: (a) Prove that if f is a continuous function, then (b) Use part (a) to show that for all positive numbers . f (x) dx

(a) Prove that if f is a continuous function, then

f (x) dx = f* (a x) dx

(b) Use part (a) to show that

TT/2 sin".x sin"x + cos"x dx TT 4

for all positive numbers .

f (x) dx = f* (a x) dx

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