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Posted by on Wednesday, January 26, 2011 at 11:58am.

integrate x+5/(x^2+10x+26)

  • calculus - , Wednesday, January 26, 2011 at 2:17pm

    I have a feeling that you meant

    integrate (x+5)/(x^2+10x+26)

    I noticed that it would fit the pattern of ln(...)
    since the derivative of the denominator shows up as a multiple in the numerator
    lets doctor it up

    (x+5)/(x^2+10x+26)
    (1/2) (2x+10)/(x^2 + 10x + 26)

    and the integral of that is
    (1/2) ln(x^2 + 10x + 26) + C

    if you did mean it the way you typed, it will be very messy.
    I would try something like partial fractions, but the bottom does not factor, so it would involve some nasty radicals.

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