A calculus problem by Hummus a

Calculus Level 4

\[ \large \displaystyle\int _{ 0 }^{ \infty }{ \dfrac { 1 }{ 1+{ x }^{ 6 } } \, dx } =\dfrac { \pi }{ a } \]

If the equation above holds true for some constant \(a\), find \(a\).

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