Product, Quotient, & Chain Rule Review

For derivatives, remember High $\mathrm{d}x$ Low $-$ Low $\mathrm{d}x$ High over ${Low}^2$

Ex: for the derivative:

$\frac{f(x)}{g(x)}\frac{\mathrm{d}y}{\mathrm{d}x}$

The derivative would be written as:

Problem 1

$\underset{e}{\overset{e^4}{\int }}$

DO NOT WRITE BOTH U AND X IN THE SAME INTEGRAL