Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 4 - Integrals - 4.3 The Fundamental Theorem of Calculus - 4.3 Exercises - Page 330: 80

Answer

$$ \frac{9}{\ln 10}$$

Work Step by Step

Given $$\int_0^1 10^xdx$$ Since \begin{aligned} \int_0^1 10^xdx&= \frac{1}{\ln 10}\int \ln (10) 10^xdx\\ &= \frac{1}{\ln 10} [10]^x\bigg|_0^1\\ &= \frac{1}{\ln 10}[ 10-1 ]\\ &= \frac{9}{\ln 10} \end{aligned}
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.