How much multiplying will you do?

Calculus Level 3

$\large \displaystyle \int_{0}^{1} x^{2016} (1-x)^{2017} \, dx$

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

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