Answer
See explanation.
Work Step by Step
Use the power rule for integration
\[
C+\frac{x^{1+n}}{1+n}=\int x^{n} d x
\]
$(a)$
\[
\frac{x^{4}}{4}+\frac{x^{2}}{2}+5 x+C=\int x^{3}+x+5 d x
\]
(b) $\int -\csc x \cot x +\sec ^{2} xd x=\csc x+\tan x+C$
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 4 - Integration - 4.2 The Indefinite Integral - Exercises Set 4.2 - Page 278: 3
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