Question Number 220897 by Nicholas666 last updated on 20/May/25
![∫∫∫_( [0,1]^( 3) ) (1/(1 + x^2 y^2 + y^2 z^2 + z^2 x^2 )) dxdydz](Q220897.png)
$$ \\ $$$$\:\:\:\int\int\int_{\:\left[\mathrm{0},\mathrm{1}\right]^{\:\mathrm{3}} } \:\frac{\mathrm{1}}{\mathrm{1}\:+\:{x}^{\mathrm{2}} {y}^{\mathrm{2}} \:+\:{y}^{\mathrm{2}} {z}^{\mathrm{2}} \:+\:{z}^{\mathrm{2}} {x}^{\mathrm{2}} }\:{dxdydz}\:\:\:\:\: \\ $$$$ \\ $$