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Math Help - Integral

  1. #1
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    Integral

    Determine

    \int \frac{1}{1+2x^2}.
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  2. #2
    Super Member Random Variable's Avatar
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     \int \frac{1}{1+2x^2} dx = \int \frac{1}{1+(\sqrt{2}x)^{2}} dx = \frac{1}{\sqrt{2}} \int \frac{1}{1+u^{2}} du  = \frac{1}{\sqrt{2}} \tan^{-1} u + C = \frac{1}{\sqrt{2}} \tan^{-1} \sqrt{2}x + C

    For simple integrals like this one, Wolfram Alpha will give you all of the steps.

    EDIT: Actually it doesn't for this one.
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