16x^2-25

16x^2-25

Input
16 x^2 – 25
Geometric figure
parabola
Alternate form
(4 x – 5) (4 x + 5)
Polynomial discriminant
Delta = 1600
Derivative
d/dx(16 x^2 – 25) = 32 x
Indefinite integral
integral (-25 + 16 x^2) dx = (16 x^3)/3 – 25 x + constant
Global minimum
min{16 x^2 – 25} = -25 at x = 0
Definite integral
integral_(-5/4)^(5/4) (-25 + 16 x^2) dx = -125/3~~-41.6667
Definite integral area below the axis between the smallest and largest real roots
integral_(-5/4)^(5/4) (-25 + 16 x^2) theta(25 – 16 x^2) dx = -125/3~~-41.6667

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