Thread: 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?

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.

Originally Posted by mistykz

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 transform and expand.