4x-x^2
Input |
---|
4 x – x^2 |
Geometric figure |
parabola |
Polynomial discriminant |
Delta = 16 |
Derivative |
d/dx(4 x – x^2) = 4 – 2 x |
Indefinite integral |
integral (4 x – x^2) dx = 2 x^2 – x^3/3 + constant |
Global maximum |
max{4 x – x^2} = 4 at x = 2 |
Definite integral |
integral_0^4 (4 x – x^2) dx = 32/3~~10.6667 |
Definite integral area above the axis between the smallest and largest real roots |
integral_0^4 (4 x – x^2) theta(4 x – x^2) dx = 32/3~~10.6667 |