Question Number 182242 by mathlove last updated on 06/Dec/22
$$\underset{\mathrm{0}} {\int}^{\mathrm{2}} \underset{\mathrm{0}} {\int}^{\mathrm{3}} \underset{\mathrm{0}} {\int}^{\mathrm{4}} {e}^{{x}+{y}+{z}} \:{dx}\:{dy}\:{dz}=? \\ $$
Answered by Ar Brandon last updated on 06/Dec/22
$$=\left(\int_{\mathrm{0}} ^{\mathrm{4}} {e}^{{x}} {dx}\right)\left(\int_{\mathrm{0}} ^{\mathrm{3}} {e}^{\mathrm{y}} {d}\mathrm{y}\right)\left(\int_{\mathrm{0}} ^{\mathrm{2}} {e}^{{z}} {dz}\right) \\ $$