
Integrals
Hello guys,
I've Passed my calculus I before long time (1.5 years) I changed my major to I.T and didn't study any maths equation by then. but now my curicculum has changed and I am obliged to take the calculus II course.
I attented the class yesturday and I was really lost (Doh) I forgot everything, nearly everythin(Doh).
what can i do ? I asked my friends and they said that calculus II is basically Integrals and suite. Is there any good tutorial online? That I can study ? and retrieve my memory?
Anyway the teacher gave us this, I couldn't solve anything :(
I hope someone could help me.
http://i49.tinypic.com/jpipmx.png
Thank you !

Terve, Terve Jäämies! Kävin minä Suomessa monta vuotta takaperin.
This appears to be an assignment of "Integration by Parts". I'll do the third one.
$\displaystyle \int x\cdot ln(x)\;dx\;=\int ln(x)\;d\left(\frac{x^{2}}{2}\right)\;=\;\frac{x^{ 2}}{2}\cdot ln(x)\;\;\int \frac{x^{2}}{2}\;d(ln(x))\;=\;$
$\displaystyle \frac{x^{2}}{2}\cdot ln(x)\;\;\int \frac{x}{2}\;dx\;=\;\frac{x^{2}}{2}\cdot ln(x)\;\;\frac{x^{2}}{4}\;+\;C$
Tämä on sinun teettämäsi. Onhan aikana nähdä sinun tekemäsi!
I was in a rush and didn't have time to look up anything. I hope my Finnish grammar and spelling are okay  at least comprehensible.