integral (x-a)/(x-b) dx Solution Ok, I did quite a bit of algebraic manipulation with the integral... so see if you can follow me :) ?(x-a)/(x-b)dx = ? [x - a - (b - a)]/(x - b) + (b - a)/(x - b) dx = ? (x - b)/(x - b) + (b - a)/(x - b) dx = ? 1 + (b - a)/(x - b) dx = x + (b - a)ln(x - b) + c.