WOW!
WHAT A WILD INTEGRATION!
Solution development using a bunch of my favourite tools and the integrals involved along with the final solution were indeed epic.
Reflection formula for the gamma function (part of solution development of another cool integral):
https://youtu.be/5VE5kJUJFE0
The gamma-zeta integral:
https://youtu.be/rdi2eZUax4w