The graph of a function f is shown. Let t be the function that represents the area

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The graph of a function f is shown. Let t be the function that represents the area under the graph of f between 0 and x.

(a) Use geometry to find a formula for g(x).

(b) Verify that t is an antiderivative of f and explain how this confirms Part 1 of the Fundamental Theorem of Calculus for the function f.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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