# Integration (1)

Calculus Level 4

$\large \dfrac{\displaystyle\int_0^1 (1-t^{50})^{100} \, dt}{\displaystyle\int_0^1 (1-t^{50})^{101} \, dt}$

If the value of the expression above is equal to $$\dfrac pq$$, where $$p$$ and $$q$$ are coprime positive integers, find $$p-q$$.

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