X^3 + x^2

X^3 + x^2

Input
x^3 + x^2
Alternate form
x^2 (x + 1)
Polynomial discriminant
Delta = 0
Derivative
d/dx(x^3 + x^2) = x (3 x + 2)
Indefinite integral
integral (x^2 + x^3) dx = x^4/4 + x^3/3 + constant
Local maximum
max{x^3 + x^2} = 4/27 at x = -2/3
Local minimum
min{x^3 + x^2} = 0 at x = 0
Definite integral
integral_(-1)^0 (x^2 + x^3) dx = 1/12~~0.0833333
Definite integral area above the axis between the smallest and largest real roots
integral_(-1)^0 (x^2 + x^3) theta(x^2 + x^3) dx = 1/12~~0.0833333

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