B2-4ac

B2-4ac

Input
b^2 – 4 a c
Polynomial discriminant
Delta_b = 16 a c
Property as a function
even
Derivative
(d)/(da)(b^2 – 4 a c) = -4 c
Indefinite integral
integral (b^2 – 4 a c) da = a b^2 – 2 a^2 c + constant
Definite integral over a cube of edge length 2 L
integral_(-L)^L integral_(-L)^L integral_(-L)^L (b^2 – 4 a c) dc db da = (8 L^5)/3

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