# Fractional part fun

Calculus Level 4

$\large \int_1^{\infty}\frac{\{x\}}{x^3}\, dx=a-\frac{\pi^b}{c}$

The above integral is true for positive integers $$a$$, $$b$$ and $$c$$.

What is the value of $$a+b+c$$?

Note: $$\{x\}$$ denotes the fractional part of $$x$$.

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