# A calculus problem by Jonas Katona

Calculus Level 3

$\large I=\int _{ -\infty }^{ \infty }{ \dfrac { { x }^{ 2 } }{ { x }^{ 4 }+4 } } \, dx$ If $$I$$ can be expressed in the form $$\dfrac { \pi }{ a }$$, find $${ a }^{ a }$$.

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