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Math Help - Integration problem with discriminant

  1. #1
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    Integration problem with discriminant

    Hi, I'm new here.

    Suppose that ax^2 +bx +c is a quadratic polynomial and that the integration

    int_ 1/ (ax^2 +bx +c) produces a function with neither logarithmic nor inverse tangent terms. What does this tell you about the roots of the polynomial?

    Thank you
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  2. #2
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    If a!=0, we have the following interesting cases below.
    I just took them of Wikipedia, but I am sure I can explain them if you need me to.
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  3. #3
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    I would like it very much if u can explain them to me. Thanks
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  4. #4
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    First we need to know how to complete this square if a!=0.
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  5. #5
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    Case 1. This is Mine 56th Post!!!
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  6. #6
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    Case II:
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  7. #7
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    Case III:
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