Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 5: Integrals - Section 5.6 - Definite Integral Substitutions and the Area Between Curves - Exercises 5.6 - Page 306: 90

Answer

See graph and explanations.

Work Step by Step

Graph the three pairs of functions $f(x), f(x+c)$ in the given intervals as shown in the figure. It can be seen in all three cases that the areas under the corresponding curves are equal, which confirms the formula given in Equation-1 on the previous page.
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