Answer
$e^x(4x+3)+C$
Work Step by Step
$\int (4x+7)e^xdx$
$u=4x+7, dv=e^xdx$
$du=4dx, v=e^x$
$\int udv = uv-\int vdu$
$(4x+7)(e^x)- \int e^x(4dx)$
$4xe^x+7e^x-4e^x+C$
$e^x(4x+3)+C$
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 - 8.2 Exercises - Page 521: 8
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