Calculus (3rd Edition)

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

Chapter 7 - Exponential Functions - 7.3 Logarithms and Their Derivatives - Exercises - Page 343: 102


$\frac{3^{x}}{\ln 3} +c $

Work Step by Step

Let $ u=3^x $, then $ du= 3^x \ln 3 dx $ and hence $$\int3^xdx = \frac{1}{\ln 3}\int du +c=\frac{1}{\ln 3}u +c\\ =\frac{1}{\ln 3}3^x +c =\frac{3^{x}}{\ln 3} +c. $$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.