Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 5 - The Integral - 5.4 The Fundamental Theorem of Calculus, Part I - Exercises - Page 258: 40


$\frac{1}{5} (a^5-b^5).$

Work Step by Step

We have $$ \int_b^a x^4dx=\frac{1}{5}x^5|_b^a=\frac{1}{5} (a^5-b^5). $$
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