\int_0^1 x^{a-1} (1-x)^{b-1} dx &=& 
\left[ \frac{x^a}{a} - \frac{x^{a+b-1}}{a+b-1} \right]_0^1 \\
&=& \frac{1}{a} - \frac{1}{a+b-1} \\
&=& \frac{b-1}{a(a+b-1)}

これってなんでダメなんだっけ?

aka.tkf+formula@gmail.com - about 1 year ago
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