Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 5 - Section 5.3 - The Fundamental Theorem of Calculus - 5.3 Exercises - Page 400: 46

Answer

$= \frac{1}{4}$

Work Step by Step

$\int^{1}_0 (x^{3}-0)dx$ $\int^{1}_0 x^{3}dx$ $= \frac{x^{4}}{4} |^{1}_0$ $= [\frac{1^{4}}{4}] - [\frac{0^{4}}{4}]$ $= [\frac{1}{4}] - [\frac{0}{4}]$ $= [\frac{1}{4}] -0$ $= \frac{1}{4}$
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