A calculus problem by Hamza A

Calculus Level 4

011+x6dx=πa \large \displaystyle\int _{ 0 }^{ \infty }{ \dfrac { 1 }{ 1+{ x }^{ 6 } } \, dx } =\dfrac { \pi }{ a }

If the equation above holds true for some constant aa, find aa.

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