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http://physics.stackexchange.com/qu...particle-under-gravity-constrained-to-move-in

and, i don't unsderstand why the integral

[tex] \int^1_0 \frac{dy}{\sqrt{1+y^4}}[/tex] is proportional to [tex] \Gamma (5/4) / \Gamma (3/4) [/tex].

I had read the definition of Beta function, but i don't get to the answer....