Question: 3. Given that f (x) is a continuous function, a. Find an integer n such that n (Soxf (2x) dx) = S tf(t) dt. Hint:


3. Given that f (x) is a continuous function, a. Find an integer n such that n (Soxf" (2x) dx) = S tf"(t) dt. Hint: try a change of variables. b. Compute Jaxf" (2x)dx, given that f (0) = 1, f(2) = 3, and f'(2) = 5. Hint: use part (a) and integration by parts
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