(3x-2y4)-3 =
| Input |
|---|
| (3 x – 2 y^4) – 3 |
| Result |
| 3 x – 2 y^4 – 3 |
| Polynomial discriminant |
| Delta_y = -55296 (x – 1)^3 |
| Integer root |
| x = 54 n^4 + 1, y = 3 n, n element Z |
| Derivative |
| (d)/(dx)((3 x – 2 y^4) – 3) = 3 |
| Indefinite integral |
| integral (-3 + 3 x – 2 y^4) dx = (3 x^2)/2 – 2 x y^4 – 3 x + constant |
| Definite integral over a square of edge length 2 L |
| integral_(-L)^L integral_(-L)^L (-3 + 3 x – 2 y^4) dy dx = 2 L (-(4 L^5)/5 – 6 L) |