Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 4 - Section 4.9 - Antiderivatives - 4.9 Exercises - Page 355: 12



Work Step by Step

Start with original function: $\int (\sqrt[3] {x^{2}} + x\sqrt x)dx$. Rewrite radicals as fractional powers: $\int (x^{2/3}+x^{3/2})dx$. Use power rule for antiderivatives to integrate each term: $\frac{x^{5/3}}{\frac{5}{3}}+\frac{x^{5/2}}{\frac{5}{2}}+C$. Simplify fractions to arrive at answer: $\frac{3}{5}x^{5/3}+\frac{2}{5}x^{5/2}+C$.
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.