Integration by Parts

[Goldenwind]

1. The problem statement, all variables and given/known data
Got an exam later today on this, just looking for some practice.
I know this is kinda reverse of what the forum is intended for, but I'd like to ask for people to post some problems that I can solve via Integration by Parts.

Just like 5 or so.

2. Relevant equations
Integral(u dv) = uv - Integral(v du)

[rocomath]

\int\frac{r^3}{\sqrt{4+r^2}}dx

\int\ln \sqrt{1+x^2}dx

\int\sec^{3}xdx

\int\sec^{5}xdx

\int x\tan^{-1}xdx