a. Suppose f(x) is continuous with antiderivative F(x), i.e. F?(x)=f(x). Fix a point x0? and show that x?x0?lim?x?x0?1??x0?xx?f(t)dt=f(x0?). Hint: Use the Fundamental Theorem of Calculus, then recall the limit definition of the derivative.

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(Solved): a. Suppose f(x) is continuous with antiderivative F(x), i.e. F(x)=f(x). Fix a point x0 and sh ...

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