Answer
$2(e-1).$
Work Step by Step
We have
$$
\int_{0}^{1} \frac{e^{\sqrt{x}} d x}{\sqrt{x}}=2\int_{0}^{1} e^{\sqrt{x}} d {(\sqrt{x})}=2e^{\sqrt{x}}|_0^1=2(e-1).
$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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
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