Answer
$$\int e^x\sin(e^x)dx=-\cos(e^x)+C$$
Work Step by Step
$$A=\int e^x\sin(e^x)dx$$
Set $u=e^x$, which means $$du=e^xdx$$
Therefore, $$A=\int \sin udu$$ $$A=-\cos u+C$$ $$A=-\cos(e^x)+C$$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 7 - Practice Exercises - Page 420: 1
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