Question: 1. Let a, b R, a < b. Provide a complete and detailed proof of the following statement: If f is continuous on [a,

1. Let a, b R, a < b. Provide a complete and detailed proof of the following statement: If f is continuous on [a, b] and define F(x) = f f(t)dt, any x = [a,b], then F' (b) = f(b). That is that the left-hand derivative of F at x = b equals f(b). Do not use FTOCI.

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