Borwein integral
I didn't know there was a name to the integrals until recently. See the following:
[math]\displaystyle \int^{\infty}_0 \frac {\sin x}x dx = \frac {\pi}2 \tag{1}[/math]
[math]\displaystyle \int^{\infty}_0 \frac {\sin x}x \frac {\sin \frac x3}{\frac x3} dx = \frac {\pi}2 \tag{2}[/math]
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