Answer
$\frac {9x^2}2 +12x+4ln|x|+C$
Work Step by Step
$\int x (3+\frac 2 x)^2dx$
$\int x(9x+12+\frac 4 x)dx$
$9\int xdx+12\int dx +4\int \frac1 x dx$
$\frac {9x^2}2 +12x+4ln|x|+C$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 8 - Integration Techniques, L'Hopital's Rule, and Improper Integrals - 8.1 Exercises - Page 512: 28
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