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Input interpretation:

complete the square | x^2 + 2 x + 3


Result:

(x + 1)^2 + 2


Geometric figure:

parabola


Polynomial discriminant:

Delta = -8


Derivative:

d\/dx((x + 1)^2 + 2) = 2 (x + 1)


Indefinite integral:

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

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