Borwein integral

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In mathematics, a Borwein integral is an integral whose unusual properties were first presented by mathematicians David Borwein and Jonathan Borwein in 2001. Borwein integrals involve products of sinc ⁡ ( a x ) {\displaystyle \operatorname {sinc} (ax)} , where the sinc function is given by sinc ⁡ ( x ) = sin ⁡ ( x ) / x {\displaystyle \operatorname {sinc} (x)=\sin(x)/x} for x {\displaystyle x} not equal to 0, and sinc ⁡ ( 0 ) = 1 {\displaystyle \operatorname {sinc} (0)=1} . These integrals are remarkable for exhibiting apparent patterns that eventually break down. The following is an example....

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