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∫0∞11+x6 dx=πa \large \displaystyle\int _{ 0 }^{ \infty }{ \dfrac { 1 }{ 1+{ x }^{ 6 } } \, dx } =\dfrac { \pi }{ a } ∫0∞1+x61dx=aπ
If the equation above holds true for some constant aaa, find aaa.
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