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Thread: Integrals

  1. #1
    Oct 2006


    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 !
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  2. #2
    MHF Contributor
    Aug 2007
    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.
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