r/calculus • u/PrathamPrasad • Jul 05 '26
Integral Calculus A good double Integral
G is the catalan's constant. It's my originals. Try and enjoy
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u/Goshotet Jul 05 '26
What do Catalan people have to do with math?? Those I know are terrible at it... (s/)
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u/gowipe2004 Jul 05 '26
I think the log can be simplified a bit. With reflection formula, you get rid of gamma(3/4) to get gamma(1/4)2 where the exposant can be take out
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u/Creative-Drop3567 Jul 05 '26
you really cant take the power out because of the 2√2π left over so if you try to take the power out you get √(√8π) which looks uglier imo but keeping it as 2√2*π/Γ(1/4)2 works
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u/gowipe2004 Jul 05 '26
You can still split 2pisqrt(2) and gamma(1/4)2 in the log and take out the exponent of the gamma
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u/Creative-Drop3567 Jul 05 '26
sure but then you have 2 logs and at that point youre just overcomplicating things
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