Answer
$\sec (x+5)+c$
Work Step by Step
Since $(\sec (x+5))'= \sec(x+5)\tan(x+5)$, we have
$$
\int \sec(x+5)\tan(x+5 ) d x=\sec (x+5)+c.
$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 5 - The Integral - 5.3 The Indefinite Integral - Exercises - Page 252: 38
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