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Need help: integration by substitution.

  1. Jan 13, 2008 #1
    Hello all, how are you?

    we are currently working on integration by substitution, what do you guys think about the way i solved this one:

    Find: [tex] \int \frac{(t+1)^2}{t^2} dt[/tex]

    My solution:

    [tex] \int \frac{(t+1)^2}{t^2} dt

    = \int 1dt + \int \frac{2}{t} dt + \int \frac{1}{t^2} dt

    = t + 2ln|t| + \frac{1}{-3t^3}

    [/tex]

    When i check it by takin the derivative of my answer... it matches up with the stuff up top... but theres no substitution... am i doing it the right way? is there any faster way?

    Thanks,

    NN

    Note:I realized i posted this at a wrong section... plz move it if you can. Thanks and sorry about that.
     
    Last edited: Jan 13, 2008
  2. jcsd
  3. Jan 13, 2008 #2
    Don't forget the constant of integration! I don't think there is a quicker way of solving it.
     
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