B2-4ac
Input |
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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 |