1. ## multiple integral

Has anyone seen an analytical solution to this integral:

$\displaystyle$
$\displaystyle \int_0^1\cdots\int_0^1\frac{1}{(x_1+\cdots+x_N)}dx _1\cdots dx_N$

I would be grateful for any help!

2. Originally Posted by Per
Has anyone seen an analytical solution to this integral:

$\displaystyle$
$\displaystyle \int_0^1\cdots\int_0^1\frac{1}{(x_1+\cdots+x_N)}dx _1\cdots dx_N$

I would be grateful for any help!

Do you mean this $\displaystyle \int_0^1\cdots\int_0^1\frac{1}{(x_1+\cdots+x_N)^N} dx_1\cdots dx_N$ ??