Modulo Integration?

Calculus Level 5

Given that \[A = \int _{ -1 }^{ 1 }{ \mod{(x,{ x }^{ 2 })} } \space \mathrm{d}x \]

Find \[\left\lfloor 10000A \right\rfloor \]


Note: \( \mod (a, b) = c\) where \( 0 \leq c < a \) and \( a -c = k b \) for some integer \(k \).

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