Answer
$\frac 1 2 e^{2x}+10e^x+25x+C$
Work Step by Step
$\frac {dy}{dx}=(e^x+5)^2$
$(e^x+5)^2=e^{2x}+10e^x+25$
$y=\int (e^{2x}+10e^x+25)dx$
$\frac 1 2 e^{2x}+10e^x+25x+C$
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 513: 51
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