B_2(x) - Wolfram|Alpha

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Input

B_2(x)

Exact result

x^2 - x + 1/6

Roots

x = 1/2 - 1/(2 sqrt(3))

x = 1/2 + 1/(2 sqrt(3))

Polynomial discriminant

Δ = 1/3

Derivative

d/dx(B_2(x)) = 2 x - 1

Indefinite integral

integral(1/6 - x + x^2) dx = x^3/3 - x^2/2 + x/6 + constant

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