Integration: Solve x^2-3x+2 Over x+1

[kingdomof]

Homework Statement

Int(x^2-3x+2)/(x+1)dx

Homework Equations

The Attempt at a Solution

I don't know where to start.

 

[jgens]

Start by dividing the two polynomials. The resultant expression will be much simpler.

 

[djeitnstine]

Homework Statement

Int(x^2-3x+2)/(x+1)dx

Homework Equations

The Attempt at a Solution

I don't know where to start.

Instead of trying to factor simply divide it into 3 different equations i.e.


$$\int \frac{x^{2}}{x+1}dx - \int \frac{3x}{x+1}dx + \int \frac{2}{x+1}dx$$

 

[Mark44]

Instead of trying to factor simply divide it into 3 different equations i.e.


$$\int \frac{x^{2}}{x+1}dx - \int \frac{3x}{x+1}dx + \int \frac{2}{x+1}dx$$

These aren't equations: they are expressions.

A much simpler approach is to do as jgens advised, and divide x^2 - 3x + 2 by x + 1, using long division.