Question

How do you evaluate the integral `int (3x^2-4x+2)/(x-5)`?

Answer 1

`= (3x^2)/2 + 11x + 57ln |x-5| + C`

Explanation:

If you do the long division, you will see that:

`(3x^2-4x+2)/(x-5) = 3x + 11 + 57/(x-5)`

And:

`int dx qquad ( 3x + 11 + 57/(x-5) )`

`= (3x^2)/2 + 11x + 57ln |x-5| + C`