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Math Help - Please solve this calc. trig substitute question

  1. #1
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    Please solve this calc. trig substitute question

    I can't seem to get the correct answer for this:

    Find the indefinite integral by using the substitution x = tan().

    integral x^2/(1+x^2)^2 dx


    Thanks
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  2. #2
    Senior Member vincisonfire's Avatar
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    Reply

    tan(t) = x
    sec(t)^2 dt = dx
    tan(t)^2 * sec(t)^2 dt/(1+tan(t)^2)^2
    tan(t)^2 * sec(t)^2 dt/(sec(t)^2)^2
    tan(t)^2 dt /sec(t)^2
    sin(t)^2 dt
    Integrate this using trigo identities on wikipedia.
    Last edited by vincisonfire; October 15th 2008 at 07:30 AM.
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