# 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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