Answer
$$
\int \frac{ d x}{x+7} =\ln |x+7|+C
$$
Work Step by Step
Recall that $\int \frac{1}{x}dx=\ln |x|+C$
Le $ u=x+7$ and hence $ du=dx $, then we have
$$
\int \frac{ d x}{x+7}=\int \frac{ d u}{u}= \ln |u|+c=\ln |x+7|+C.
$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - 7.3 Logarithms and Their Derivatives - Exercises - Page 343: 86
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