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: 44

Answer

-1

Work Step by Step

$\int^{\sqrt{2}}_{0}(t-\sqrt{2})$ =$\int^{\sqrt{2}}_{0}tdt -\int^{\sqrt{2}}_{0}\sqrt{2} dt$ =$[\frac{(\sqrt{2})^2}{2}-\frac{0^2}{2}]-\sqrt{2}[\sqrt{2}-0]$ =1-2 =-1
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