# 5 day streak problem original!

Calculus Level pending

$\large \int_0^1 \int_0^2 \int_0^3 \left( x \ \ln(xyz) \right) \, dx \, dy \, dz$

If the expression above equals to $$a \ln(b) - c$$ for integers $$a,b,c$$ with $$b$$ square free, find the value of $$abc$$.

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