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

[tex]\int\frac{r^3}{\sqrt{4+r^2}}dx[/tex]

[tex]\int\ln \sqrt{1+x^2}dx[/tex]

[tex]\int\sec^{3}xdx[/tex]

[tex]\int\sec^{5}xdx[/tex]

[tex]\int x\tan^{-1}xdx[/tex]