Calculus (3rd Edition)

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

Chapter 5 - The Integral - 5.7 Substitution Method - Exercises - Page 276: 88



Work Step by Step

Given $$\int f^{\prime}(-x+7) \mathrm{d} x$$ Let $$ u=-x+7 \ \ \ \Rightarrow \ \ \ du = - dx$$ Then \begin{aligned} \int f^{\prime}(-x+7) d x&=-\int f^{\prime}(u) d u\\ &=-f(u)+C\\ &=-f(-x+7)+C\end{aligned}
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