# (level VI, part III), Gram-Schmidt or ...

Calculus Level 5

The minimum of the integral below such that $$a, b , c \in \mathbb{R}$$ can be written as $$\dfrac{A}{B}$$ where $$A, B$$ are positive coprime integers. Submit $$A + B$$ $\large \displaystyle \int_{-1}^{1} |x^3 - a - bx - cx^2|^2 \, dx$

Try Part II

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