Chapter 4 - Integration - 4.5 Exercises - Page 301: 26

$\frac{3}{20}(5x^2)^{\frac{2}{3}}+C$

let $5x^2=u$ $du=10x$ $dx$ $\int \frac{x}{(5x^2)^{\frac{1}{3}}}dx$ $=\frac{1}{10} \int \frac{du}{u^{\frac{1}{3}}}$ $=\frac{1}{10}(\frac{3}{2}u^{\frac{3}{2}})+C$ $=\frac{3}{20}(5x^2)^{\frac{2}{3}}+C$