Calculus 10th Edition

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: 8

Answer

$e^x(4x+3)+C$

Work Step by Step

$\int (4x+7)e^xdx$ $u=4x+7, dv=e^xdx$ $du=4dx, v=e^x$ $\int udv = uv-\int vdu$ $(4x+7)(e^x)- \int e^x(4dx)$ $4xe^x+7e^x-4e^x+C$ $e^x(4x+3)+C$
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