# Simple Definite Integral #1

Calculus Level 5

$\large{\int_0^1 \dfrac{x^3}{(x+1)^3 + 6e^x + 3x+5}\, dx }$

If the value of the integral above can be expressed as $$\ln\left( \frac {Ae}{Be+C} \right)$$ for positive integers $$A,B$$ and $$C$$, find the minimum value of $$A+B+C$$.

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