| Input |
|---|
| x^3 + x^2 |
| Alternate form |
| x^2 (x + 1) |
| Polynomial discriminant |
| Delta = 0 |
| Derivative |
| d/dx(x^3 + x^2) = x (3 x + 2) |
| Indefinite integral |
| integral (x^2 + x^3) dx = x^4/4 + x^3/3 + constant |
| Local maximum |
| max{x^3 + x^2} = 4/27 at x = -2/3 |
| Local minimum |
| min{x^3 + x^2} = 0 at x = 0 |
| Definite integral |
| integral_(-1)^0 (x^2 + x^3) dx = 1/12~~0.0833333 |
| Definite integral area above the axis between the smallest and largest real roots |
| integral_(-1)^0 (x^2 + x^3) theta(x^2 + x^3) dx = 1/12~~0.0833333 |