| Input |
| 16 x^2 – 25 |
| Geometric figure |
| parabola |
| Alternate form |
| (4 x – 5) (4 x + 5) |
| Polynomial discriminant |
| Delta = 1600 |
| Derivative |
| d/dx(16 x^2 – 25) = 32 x |
| Indefinite integral |
| integral (-25 + 16 x^2) dx = (16 x^3)/3 – 25 x + constant |
| Global minimum |
| min{16 x^2 – 25} = -25 at x = 0 |
| Definite integral |
| integral_(-5/4)^(5/4) (-25 + 16 x^2) dx = -125/3~~-41.6667 |
| Definite integral area below the axis between the smallest and largest real roots |
| integral_(-5/4)^(5/4) (-25 + 16 x^2) theta(25 – 16 x^2) dx = -125/3~~-41.6667 |
