(x+y)^4

(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

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