Evaluate the integral ∫∫Q∫xz dV\style{font-size:35px}{\int\i…
Evaluate the integral ∫∫Q∫xz dV\style{font-size:35px}{\int\int\limits_Q\int{xz\ dV}} where Q\style{font-size:35px}{Q} is the quarter of the unit sphere x2+y2+z2=1\style{font-size:35px}{x^2+y^2+z^2=1} in octants I and IV (i.e. with 0≤x≤1\style{font-size:35px}{0\leq x\leq 1}, -1≤y≤1\style{font-size:35px}{-1\leq y\leq 1}, and 0≤z≤1\style{font-size:35px}{0\leq z\leq 1}).