Answer
A good first step in solving $\int \frac{x^3-2x+4}{x-1}dx$ would be to perform long division.
Work Step by Step
After performing long division, $\int \frac{x^3-2x+4}{x-1}dx = \int (x^2+x-1 + \frac{3}{x-1})dx$, which is more easier to integrate.
