Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 4 - Integration - 4.1 Exercises: 26

Answer

1. Integrate: $= \frac{1}{3}t^{3} - sin(t) + C$ 2. Differentiate: $=t^{2} - cos(t)$

Work Step by Step

1. Integrate $\int (t^{2}-cos(t))dt$ $= \frac{t^{3}}{3} - (sin(t)) + C$ $= \frac{1}{3}t^{3} - sin(t) + C$ 2. Differentiate $f(x) = \frac{1}{3}t^{3} - sin(t) + C$ $f'(x) = t^{2} - (cos(t))$ $f'(x) = t^{2} - cos(t)$
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