# Integrate By Parts Or Use The Beta Function

Calculus Level 4

$I=\dfrac{\displaystyle \int_0^1 (1-x^{1729})^{1729} \, dx}{\displaystyle \int_0^1 (1-x^{1729})^{1728} \, dx}$

If $$I$$ can be represented as $$\frac{a}{b}$$ then find value of $$a+b$$.

$$a,b$$ are co-prime positive integers.

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