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Calclulus: integration

  1. Feb 5, 2008 #1
    1. The problem statement, all variables and given/known data
    Integrate the following:


    2. Relevant equations
    tln(t)dt


    3. The attempt at a solution

    if i do intergration by parts:
    u=t
    u'=1
    v'=ln(t)
    v=1/x
    and then use the formule, would that give me a correct answer?
    Is there a simpler way?
     
  2. jcsd
  3. Feb 5, 2008 #2
    The antiderivative of ln(t) is not 1/t. That's the derivative.

    When you have both a logarithm and polynomial term, make u the log term and dv be the polynomial.
     
  4. Feb 7, 2008 #3
    Switch your substitutions, and it's solved.
     
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