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Math Help - Integral

  1. #1
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    Integral

    1/ (x^4+2x^2+1)
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  2. #2
    Eater of Worlds
    galactus's Avatar
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    Notice the PFD?

    \int\frac{1}{x^{4}+2x^{2}+1}dx=\int\frac{1}{(x^{2}  +1)^{2}}dx

    Let x=tan(u), \;\ u=tan^{-1}(x), \;\ du=\frac{1}{1+x^{2}}dx

    Make the subs and get:

    \int\frac{1}{1+tan^{2}(u)}du

    \int\frac{1}{sec^{2}(u)}du

    \int cos^{2}(u)du

    Continue?.
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