Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.1 Derivative of f(x)=bx and the Number e - Exercises - Page 328: 69

Answer

$ e^x+2x+c $

Work Step by Step

Recall that $(e^x)'=e^x$ We have $$ \int\left(e^{x}+2\right) d x=\int e^{x} d x+2 \int d x=e^x+2x+c $$
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