Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 5 - Section 5.4 - Indefinite Integrals and the Net Change Theorem - 5.4 Exercises: 13

Answer

$$\int(\sin x+\sinh x)dx=-\cos x+\cosh x+C$$

Work Step by Step

$$A=\int(\sin x+\sinh x)dx$$ From Table 1, $$\int[f(x)+g(x)]dx=\int f(x)dx+\int g(x)dx$$ Therefore, $$A=\int(\sin x)dx+\int(\sinh x)dx$$ From Table 1, we also get that $$\int (\sin x)dx=-\cos x+C$$ $$\int(\sinh x)dx=\cosh x+C$$ Therefore, $$A=-\cos x+\cosh x+C$$
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