Answer
$-2~cos~t-3e^t+C$
Work Step by Step
We can find the most general antiderivative of the function:
$\int~f(t)$
$= \int (2~sin~t-3 e^t)$
$= \int 2~sin~t- \int 3 e^t$
$= -2~cos~t-3e^t+C$
Calculus: Early Transcendentals 9th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1337613924
ISBN 13:
978-1-33761-392-7
Chapter 4 - Review - Exercises - Page 367: 67
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