This Impossible Integral Has a Real Answer
5:39
YouTubeMath Quest Club
This Impossible Integral Has a Real Answer
What happens if you take the factorial of i, raise it to the power x, and integrate it from 0 to ∞? In this video, we explore the surprising integral ∫₀^∞ (i!)ˣ dx and show that this impossible-looking expression actually converges to an exact complex value. Starting from the Gamma function, we extend factorial to the imaginary number ...
3.2K views1 month ago
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