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Math Help - Intergral problem solving

  1. #1
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    Question Intergral problem solving

    Can somebody help me integrate
    r(t)=t/1+t^2

    I use the substitution method

    t(1+t^2)^-1

    let 1+t^2=u
    2tdt=du
    dt=du/2t

    hence putting in ques

    r(t)=∫t/u^-1 du/2t
    =1/2∫u^-1 du
    =1/2u^0/0

    which is not possible .Any help?
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  2. #2
    MHF Contributor chisigma's Avatar
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    What is the derivative of 1+t^{2}?... the answer is also the solution of integral ...



    Merry Christmas from Italy

    \chi \sigma
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  3. #3
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    Question the derivative

    the derivative is 2tdt .But I did this at the top and I end up with some other number.
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  4. #4
    Super Member
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    Well, what's \int \frac{1}{x}dx ?
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