Considering the integral I do not visualize and understand why: $$F= \int \rho(\theta_1)d\theta_1 \dots\rho(\theta_n)d\theta_n \sum_{j=1}^n\sum_{i=1}^j \ln(1+e^{-(\theta_i+\theta_j)})\stackrel{?}{=} - \binom{n}{2} \iint d\theta_1 d\theta_2 \rho(\theta_1)\rho(\theta_2) \ln(1+e^{-(\theta_1+\theta_2)}) $$
2026-04-08 17:26:20.1775669180
Equality involving binomial coefficient in a integral
42 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in CALCULUS
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