Calc 2 Help, several problems!

So I am stuck on several problems, I assume they are all solved the same way or roughly the same way but I dont know where to go.

I am pretty good with my integration, and even basic integration by parts, but this stuff has me stumped.

Any help is greatly appreciated.

Thanks

I know for the most part they are all integration by parts, just not sure what parts to choose.

1) ∫(e^1/x)/x^2

2) ∫x^4lnx

3) ∫x^2e^x^3

4) ∫1/x(lnx)^3

5) ∫x^3e^x^2/(X^2+1)^2

6) ∫ln2x/x^2

7) ∫e^2xsinx

I know its alot, but any help is greatly appreciated.

Classes start next week and I am trying to freshen up my skills.