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maths help!

  • 29-04-2010 2:33am
    #1
    Registered Users, Registered Users 2 Posts: 20


    anybody know how to integrate x^3(lnx)^2 dx by integration by parts????


Comments

  • Registered Users, Registered Users 2 Posts: 271 ✭✭Clinker


    Any term involving ln(x) is usually u in integration by parts. You'll need to use parts again on the result.


  • Closed Accounts Posts: 6,081 ✭✭✭LeixlipRed


    Generally, though it's not always the case, you let dv equal to whatever is easiest to integrate. Here, x^3 is much easier to integrate than (logx)^2.


  • Registered Users, Registered Users 2 Posts: 20 kelxx


    can anybody do this step by step...im lost :(


  • Registered Users, Registered Users 2 Posts: 1,595 ✭✭✭MathsManiac


    As suggested above, let u = (ln(x))^2 and let dv = x^3 dx.

    Proceed from there. If you get stuck, post again, telling us how far you got.


  • Registered Users, Registered Users 2 Posts: 20 kelxx


    worked it out!! thanks:D


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