Chapter 8 - Integration Techniques, L'Hopital's Rule, and Improper Integrals - 8.1 Exercises - Page 512: 5

$\int u^{n}du$ $u=5x-3, n=4$

Try it: $du=5dx$ $\frac{1}{5} \int (5x-3)^{4}(5)dx$ $\frac{1}{5} \int u^{4}(5)du$ $\frac{1}{5}$($\frac{u^{5}}{5}+C)$ $\frac{1}{5}$($\frac{(5x-3)^{5}}{5}+C)$ ($\frac{(5x-3)^{5}}{25}+C)$ $\int u^{n}du$ $u=5x-3, n=4$