X^2+2x

X^2+2x

Input
x^2 + 2 x
Geometric figure
parabola
Polynomial discriminant
Delta = 4
Derivative
d/dx(x^2 + 2 x) = 2 (x + 1)
Indefinite integral
integral (2 x + x^2) dx = x^3/3 + x^2 + constant
Global minimum
min{x^2 + 2 x} = -1 at x = -1
Definite integral
integral_(-2)^0 (2 x + x^2) dx = -4/3~~-1.33333
Definite integral area below the axis between the smallest and largest real roots
integral_(-2)^0 (2 x + x^2) theta(-2 x – x^2) dx = -4/3~~-1.33333

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