# Use the Binomial Expansion If You're Crazy

Calculus Level 2

$\large \int_{0}^{1} x^5(1-x^3)^{10} \, dx$

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

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