Question: Let f [a b] R be a continuous function and let F(x) x > a. (a) Show that if f is increasing, then F(x)

Let f [a b] R be a continuous function and let F(x) x > a. (a) Show that if f is increasing, then F(x) f(x)(x-a). (b) Use the continuity of f to show that F'(x) = f(x). (c) Explain why F is also continuous. =ff(t)dt where [2,2,1] =

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