1. ## 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 I forgot everything, nearly everythin.

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.

Thank you !

2. 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.

$\int x\cdot ln(x)\;dx\;=\int ln(x)\;d\left(\frac{x^{2}}{2}\right)\;=\;\frac{x^{ 2}}{2}\cdot ln(x)\;-\;\int \frac{x^{2}}{2}\;d(ln(x))\;=\;$

$\frac{x^{2}}{2}\cdot ln(x)\;-\;\int \frac{x}{2}\;dx\;=\;\frac{x^{2}}{2}\cdot ln(x)\;-\;\frac{x^{2}}{4}\;+\;C$

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.