Evaluating the beta function

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I'm trying to evaluate $B(\frac{7}{3},\frac{2}{3})$. I've considered all the relations in my notes and on the wiki but I always get an incalculable expression such as $\Gamma(\frac{1}{3})$. The answer in my book gives the expression $\frac{2 \pi \sqrt{3}}{27}$. Any ideas?

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Use Euler's reflection formula.