Question Number 220899 by Nicholas666 last updated on 20/May/25
![∫∫∫_([0,1]^( 3) ) (1/((1+x^2 )(1+y^2 )(1+z^2 )(1+xyz))) dxdydz](Q220899.png)
$$ \\ $$$$\:\:\:\int\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\:\mathrm{3}} } \:\frac{\mathrm{1}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left(\mathrm{1}+{y}^{\mathrm{2}} \right)\left(\mathrm{1}+{z}^{\mathrm{2}} \right)\left(\mathrm{1}+{xyz}\right)}\:{dxdydz}\:\:\:\:\:\:\: \\ $$$$ \\ $$