# Gram-Schmidt Or?

Calculus Level 5

$\large \int_{-1}^1 \Big|x^3 - a-bx - cx^2\Big|^2 \, dx$

Let $$a,b,$$ and $$c$$ be real constants.

If the minimum value of the integral above can be expressed as $$\dfrac AB$$, where $$A$$ and $$B$$ are coprime positive integers, find $$A+B$$.

Notation: $$| \cdot |$$ denotes the absolute value function.

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