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Math Help - how to integrate this weird function

  1. #1
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    how to integrate this weird function

    integrate x/(1-x^2 + squareroot(1-x^2).
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by twilightstr View Post
    integrate x/(1-x^2 + squareroot(1-x^2).
    I suppose you mean \int \frac x{1 - x^2 + \sqrt{1 - x^2}}~dx ?

    A substitution of u^2 = 1 - x^2 yields the integral - \int \frac 1{u + 1}~du (i leave it to you to verify this).

    from there, you should be able to handle it
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