Question Number 221256 by Nicholas666 last updated on 28/May/25
![∫∫∫_( [0,1]) ((ln[(1+x)(1+y)(1+z])/(1 + xyz)) dxdydz](https://www.tinkutara.com/question/Q221256.png)
$$ \\ $$$$\:\:\int\int\int_{\:\left[\mathrm{0},\mathrm{1}\right]} \:\frac{\mathrm{ln}\left[\left(\mathrm{1}+{x}\right)\left(\mathrm{1}+{y}\right)\left(\mathrm{1}+{z}\right]\right.}{\mathrm{1}\:+\:{xyz}}\:{dxdydz}\:\:\:\: \\ $$$$ \\ $$