Exercise 3: Let f be a continuous function. d (a) Compute | tf(t) dt. dx (b) Compute | xf(t) dt. (Remark: The final answer may not look very simplified.) dx (c) Suppose f is twice differentiable. Compute / tf"(t) dt. Remark: 2(c) is either a hint for 1(e), or vice versa.

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