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Homework Help: Integral task. How integrate?

  1. Jan 1, 2012 #1
    [itex]\int \frac{x-3}{x^2+2x-5}dx[/itex]

    How integrate this task?

    [itex]x^2+2x-5=0[/itex]

    [itex]D=24[/itex], so I can't get real root.
     
  2. jcsd
  3. Jan 1, 2012 #2

    Curious3141

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    Homework Helper

    OK, that line with the discriminant made no sense. The discriminant is greater than zero, so clearly the quadratic does have real, distinct roots.

    Hint: start off with completing the square on the denominator. In other words, express the denominator in the form [itex](x+a)^2 + c[/itex] and go from there.
     
    Last edited: Jan 1, 2012
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