Input |
---|
x^2 – 25 |
Geometric figure |
parabola |
Alternate form |
(x – 5) (x + 5) |
Polynomial discriminant |
Delta = 100 |
Derivative |
d/dx(x^2 – 25) = 2 x |
Indefinite integral |
integral (-25 + x^2) dx = x^3/3 – 25 x + constant |
Global minimum |
min{x^2 – 25} = -25 at x = 0 |
Definite integral |
integral_(-5)^5 (-25 + x^2) dx = -500/3~~-166.667 |
Definite integral area below the axis between the smallest and largest real roots |
integral_(-5)^5 (-25 + x^2) theta(25 – x^2) dx = -500/3~~-166.667 |