# Alphabetagamma!

Calculus Level 3

$\displaystyle\int_{0}^{1} x^{5} (1-x)^{5} \, dx$

If the value of the integral above can be expressed in the form $$\dfrac{a}{b}$$ where $$a$$ and $$b$$ are coprime positive integers, find the value of $$a \times b$$.

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