# Simple Definite Integral 2

Calculus Level 4

$\large{ I = \int_1^{16} \dfrac{\ln(x)}{\sqrt{x}(x+4)} \, {d}x}$

If $$I$$ can be expressed as $$A\ln(A) \tan^{-1} \left( \dfrac{B}{C} \right)$$ where $$A,B,C$$ are positive integers with $$\gcd(B,C) = 1$$ and $$A$$ is a prime number. Then find the value of $$A+B+C$$.

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