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1. Let f(x) = sin(x'). Find a formula for F such that F'(x) = f (x). Hint: See the proof Example 2 below 2. Example 2 Let f(x) = e~*'. Find a formula for F such that F'(x) = f(z). Proof Since e~\"\" is in C1[a, b], by the FTC II, if F(x) = Je ef dt, then F'(x) = e~*\". Done! A closer look at the FTC i reed] = f(x)? No! We give a counterexample to answer the question in the negative. Question Is it always true that