# Interesting Integral

Calculus Level 5

If the value of the integral

$\displaystyle\int_{0}^{\infty}\dfrac{(x^{2}+4)\ln x}{x^{4}+16}\text{ }\text{d}x$

can be expressed as $$\dfrac{\pi\ln a}{b\sqrt{c}}$$ where $$a$$ is a prime number and $$c$$ is square free find $$a+b+c$$.

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