The best one can do is to do a complicated approximating integration of a Gamma function. As far as I know, there is no exact indefinite integral of a Gamma function. A Gamma function is a "smooth" version of the factorial, which, by the original definition of a factorial, isn't integratable.

On the other than, the Log of the Gamma function does have an exact indefinite integral.
–
Michael Mendrin
·
1 year, 2 months ago

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TopNewestThanks @Michael Mendrin – Nibedan Mukherjee · 3 months, 3 weeks ago

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The best one can do is to do a complicated approximating integration of a Gamma function. As far as I know, there is no exact indefinite integral of a Gamma function. A Gamma function is a "smooth" version of the factorial, which, by the original definition of a factorial, isn't integratable.

On the other than, the Log of the Gamma function does have an exact indefinite integral. – Michael Mendrin · 1 year, 2 months ago

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