Question

How do you integrate `((x^3 + 7) / x^2) dx`?

Answer 1

`int((x^3+7)/x^2)dx= frac (x^3-14) (2x)`

Explanation:

`int((x^3+7)/x^2)dx = int (x^3/x^2+7/x^2)dx = int xdx+7int x^(-2)dx`

`= x^2/2-7x^-1 = x^2/2-7/x = frac (x^3-14) (2x)`