# Integrate - 1

Calculus Level 3

$\int_{1}^{e} x^2 \ln{x} \, dx=\dfrac{A+C e^D}{B}$

The above equation is true for positive integers $$A,B,C$$ and $$D$$, where $$\gcd(A,C,B)=1$$. Find $$A+B+C+D$$.

Clarification: $$\gcd(\cdot)$$ denotes the greatest common divisor function.

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