# Why couldn't it be a 1?

Calculus Level 4

$\large \displaystyle \int_{0}^{1} x^5 (2-x)^4 \, dx$

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

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