| Input |
| 16 x^4 – 81 |
| Alternate form |
| (2 x – 3) (2 x + 3) (4 x^2 + 9) |
| Polynomial discriminant |
| Delta = -557256278016 |
| Derivative |
| d/dx(16 x^4 – 81) = 64 x^3 |
| Indefinite integral |
| integral (-81 + 16 x^4) dx = (16 x^5)/5 – 81 x + constant |
| Global minimum |
| min{16 x^4 – 81} = -81 at x = 0 |
| Definite integral |
| integral_(-3/2)^(3/2) (-81 + 16 x^4) dx = -972/5 = -194.4 |
| Definite integral area below the axis between the smallest and largest real roots |
| integral_(-3/2)^(3/2) (-81 + 16 x^4) theta(81 – 16 x^4) dx = -972/5 = -194.4 |
