Integration by Substitution Practice Problem

Evaluate the following integral

$\displaystyle\int (x + 1) \sqrt{2x + x^2} \ dx$

Evaluate the following integral

$\displaystyle\int\frac{\sin (\ln (x))}{x} \ dx$

Find $\displaystyle\int\frac{2x}{1 + 2x^2} \ dx$

Evaluate $\displaystyle\int (\ln{x})^4 \frac{2}{x} \ dx$