C cx cx
| Input |
|---|
| c (c x) (c x) |
| Result |
| c^3 x^2 |
| Geometric figure |
| parabola |
| Polynomial discriminant |
| Delta = 0 |
| Derivative |
| (d)/(dx)(c (c x) (c x)) = 2 c^3 x |
| Indefinite integral |
| integral c^3 x^2 dx = (c^3 x^3)/3 + constant |
| Definite integral over a disk of radius R |
| integral integral_(c^2 + x^2 |
| Definite integral over a square of edge length 2 L |
| integral_(-L)^L integral_(-L)^L c^3 x^2 dx dc = 0 |