Let $0\leq L < R\leq 1$ and $0\leq s \leq T$. Can the following ratio be $\text{simplified?}$
$$ \frac{\int_L^R z^{s+1}(1-z)^{T-s}dz}{\int_L^R z^{s}(1-z)^{T-s}dz} $$
If it helps to assume that $s$ and $T$ are integer-valued, please do!
2026-03-28 14:37:07.1774708627
Simplifying a ratio of "two-sided incomplete Beta functions"
32 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in CALCULUS
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