Ax 2 bx c
| Input |
|---|
| (a x)×2 (b x) c |
| Result |
| 2 a b c x^2 |
| Geometric figure |
| parabola |
| Polynomial discriminant |
| Delta = 0 |
| Derivative |
| (d)/(dx)((a x)×2 (b x) c) = 4 a b c x |
| Indefinite integral |
| integral 2 a b c x^2 dx = 2/3 a b c x^3 + constant |
| Definite integral over a hypersphere of radius R |
| integral integral integral integral_(a^2 + b^2 + c^2 + x^2 |
| Definite integral over a hypercube of edge length 2 L |
| integral_(-L)^L integral_(-L)^L integral_(-L)^L integral_(-L)^L 2 a b c x^2 dx dc db da = 0 |