(x+y)^4
| Input |
|---|
| (x + y)^4 |
| Expanded form |
| x^4 + 4 x^3 y + 6 x^2 y^2 + 4 x y^3 + y^4 |
| Real root |
| y = -x |
| Root |
| y = -x |
| Polynomial discriminant |
| Delta = 0 |
| Derivative |
| (d)/(dx)((x + y)^4) = 4 (x + y)^3 |
| Indefinite integral |
| integral (x + y)^4 dx = 1/5 (x + y)^5 + constant |
| Global minima |
| min{(x + y)^4} = 0 for y = -x |
| Definite integral over a square of edge length 2 L |
| integral_(-L)^L integral_(-L)^L (x + y)^4 dy dx = (64 L^6)/15 |