Possible Integration by Parts Exam Practice Problems

[Goldenwind]

Homework Statement

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.

Homework Equations

Integral(u dv) = uv - Integral(v du)

 

[rocomath]

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

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

$$\int\sec^{3}xdx$$

$$\int\sec^{5}xdx$$

$$\int x\tan^{-1}xdx$$