Input |
3 x^2 + 5 x – 2 |
Geometric figure |
parabola |
Polynomial discriminant |
Delta = 49 |
Derivative |
d/dx(3 x^2 + 5 x – 2) = 6 x + 5 |
Indefinite integral |
integral (-2 + 5 x + 3 x^2) dx = x^3 + (5 x^2)/2 – 2 x + constant |
Global minimum |
min{3 x^2 + 5 x – 2} = -49/12 at x = -5/6 |
Definite integral |
integral_(-2)^(1/3) (-2 + 5 x + 3 x^2) dx = -343/54~~-6.35185 |
Definite integral area below the axis between the smallest and largest real roots |
integral_(-2)^(1/3) (-2 + 5 x + 3 x^2) theta(2 – 5 x – 3 x^2) dx = -343/54~~-6.35185 |