Answer
$e^{sinx}$ + $c$
Work Step by Step
$u$ = $sin$ $x$
$du$ = $cos$ $x$ $dx$
$\int$ $cos$ $x$ $e^{sinx}$ $dx$ = $\int$ $e^{u}$ $du$
= $e^{u}$ + $c$
= $e^{sinx}$ + $c$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 5: Integrals - Section 5.5 - Indefinite Integrals and the Substitution Method - Exercises 5.5 - Page 295: 51
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