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 - Page 251: 25

Answer

1. Integrate $= 5sinx - 4cosx + C$ 2. Differentiate $= 5cosx + 4sinx$

Work Step by Step

1. Integrate $\int (5cosx+4sinx)dx$ $= 5(sinx) + 4(-cosx) + C$ $= 5sinx - 4cosx + C$ 2. Differentiate $f(x) = 5sinx-4cosx$ $f'(x) = 5(cosx) - 4(-sinx)$ $f'(x) = 5cosx + 4sinx$
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