Calculus (3rd Edition)

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

Chapter 8 - Techniques of Integration - 8.7 Improper Integrals - Exercises - Page 440: 32



Work Step by Step

We have $$ \int_{0}^{1} \frac{e^{\sqrt{x}} d x}{\sqrt{x}}=2\int_{0}^{1} e^{\sqrt{x}} d {(\sqrt{x})}=2e^{\sqrt{x}}|_0^1=2(e-1). $$
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