Mathematicians showing off their superiority complex in one image! Regular integrals? Boring. But replace that summation symbol with a product symbol and suddenly you're the coolest mathematician at the department party.
The "prodegral" isn't even a standard mathematical operation—it's basically the calculus equivalent of putting flames on your Honda Civic. Sure, you could calculate the area under a curve with a regular integral, but why do that when you can make it unnecessarily complicated and pretend you're a mathematical genius?
This is pure math hipster energy. "Oh, you use regular integrals? I use this obscure notation that makes everything harder to solve but looks way more impressive on my office whiteboard."