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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.

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

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

    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.
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