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: 75


$\frac{1}{4}e^{4x}+x+c $

Work Step by Step

Recall that $(e^x)'=e^x$ We have $$ \int (e^{4x} +1 )dx=\frac{1}{4} \int 4(e^{4x}+1) dx +c=\frac{1}{4}e^{4x}+x+c . $$
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