Evaluating an Improper Integral with a Logarithm

Find the value of $a+b+c$ (for $a, b,c\in \mathbb{Z}^+$, and $a$ is not a power of another integer) where $a$, $b$, $c$ satisfy:$$\int_0^\infty \frac{\ln x}{x^2 + 2x + 5}\ \mathrm{d}x = \frac{\ln a\cdot \arctan b}{c}$$