Question

How do you integrate `(x^2+1)(x-1) dx`?

Answer 1

Expand the multiplication, then integrate term by term.

Explanation:

`int(x^2+1)(x-1) dx = int (x^3-x^2+x-1) dx`

`= 1/4x^4-1/3x^3+1/2x^2-1 +C`