MathDB
Problem 18

Source:

July 1, 2010
integrationlinear algebramatrixquadraticsGausscalculus

Problem Statement

Calculate
∫⋯∫exp⁡(−∑1≤i≤j≤nxixj)dx1⋯dxn\int\cdots\int \exp\left(-\sum_{1\le i\le j\le n}x_ix_j\right)dx_1\cdots dx_n
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