Answer
$3t^2+\dfrac{t}{2}$
Work Step by Step
We have $\int (3t^2+\dfrac{t}{2}) dt=t^3+\dfrac{t^2}{4}+C$
and
$\dfrac{d}{dt}(t^3+\dfrac{t^2}{4}+C)=3t^2+\dfrac{t}{2}$
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: 27
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