# My age is everywhere

Calculus Level 5

$\large \displaystyle\int _{ 0 }^{ \infty }{ \dfrac { 1 }{ 1+{ x }^{ 13 } } \, dx } =\dfrac { a }{ b } \pi \csc { \left( \dfrac { \pi }{ c } \right) }$

If the equation above holds true for positive integers $$a,b$$ and $$c$$, with $$a,b$$ coprime, find $$a+b+c$$.

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