I understand that u-sub is like the anti chain rule.
What what is integration by parts and when should I use it (such as visual cues)
small examples of what integration by parts should look like are nice.
Use integration by parts when you have:
$\displaystyle \int x^n*e^{ax}dx$, $\displaystyle \int x^n*sin(ax)dx$, $\displaystyle \int x^n*cos(ax)dx$, $\displaystyle \int x^n*ln(x)dx$, $\displaystyle \int x^n*arcsin(ax)dx$, $\displaystyle \int x^n*arctan(ax)dx$, $\displaystyle \int e^{ax}*sin(bx)dx$, and $\displaystyle \int e^{ax}*cos(bx)dx$