Answer
$-2 \sin t +C$
Work Step by Step
Given: $\int (-2 \cos t) dt$
Thus, $\int (-2 \cos t) dt=-2 \sin t +C$
and
$\dfrac{d}{dt}(-2 \sin t +C)=-2 \cos t$
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 4 - Section 4.8 - Antiderivatives - Exercises - Page 272: 43
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