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Math Help - Tricky Integral

  1. #1
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    Tricky Integral

    integrate (x-5)/(3-x) dx

    I tried u-subs with both u= x-5, dv = 1/(3-x) and also u = 1/(3-x), dv = x-5, and I'm not getting anywhere. How do you do this?
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  2. #2
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    polynomial long division.

    Your numerator has the same degree as the denominator. So, you should do the division and you'll be left with a constant plus something easy to integrate.
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  3. #3
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    Quote Originally Posted by mistykz View Post
    integrate (x-5)/(3-x) dx

    I tried u-subs with both u= x-5, dv = 1/(3-x) and also u = 1/(3-x), dv = x-5, and I'm not getting anywhere. How do you do this?
    It's easier to let u = 3-x transform and expand.
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