Divide gently in a long division sauce pan:
Integrate briskly over a low flame:
Evaluate for and let stand at room temperature for 1000 terms for accuracy to three decimal places.
Add lemon zest to taste.
But this doesn’t look like a pi! or taste like a pi!
or a quarter pi!
Ah, but if we return to the original integral
and make the trigonometric substitution so that then:
which, if we return to the original substitution , we see that
So, , which means that:
and since , then
Enjoy your pi!