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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- Feb 16th 2009, 03:21 PMmistykzTricky 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? - Feb 16th 2009, 03:22 PMwytiaz
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. - Feb 16th 2009, 03:27 PMJester