Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 8 - Techniques of Integration - 8.4 Integrals Involving Hyperbolic and Inverse Hyperbolic Functions - Exercises - Page 415: 2


$$\cosh (x+1)+C$$

Work Step by Step

Given $$\int \sinh (x+1) d x$$ Let $$ u=x+1 \ \ \ \to du =dx$$ Then \begin{aligned} \int \sinh (x+1) d x &=\int \sinh u d u \\ &=\cosh u+C \\ &=\cosh (x+1)+C \end{aligned}
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