Thomas' Calculus 13th Edition

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

Chapter 5: Integrals - Section 5.3 - The Definite Integral - Exercises 5.3 - Page 275: 48

Answer

7

Work Step by Step

$\int^{1}_{\frac{1}{2}}24u^2du$ =24$\int^{1}_{\frac{1}{2}}u^2du$ =$24[\int_{0}^{1}u^2du-\int^{\frac{1}{2}}_{0}u^2du$ =$24[\frac{1^3}{3}-\frac{(\frac{1}{2})^3}{3}]$ =24$[\frac{\frac{7}{8}}{3}]$ =7
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