common integrals

$\int \frac{1}{u}du=\ln |u|+C$

$\int e^{u}du=e^u+C$ $\int {\sin }^{2}udu=\frac{u}{2}-\frac{\sin 2u}{4}+C$ $\int {\cos }^{2}udu=\frac{u}{2}+\frac{\sin 2u}{4}+C$ $\int a^{u}du=\frac{a^u}{\ln a}+C$