Evaluate the integral ∫∫Q∫xz dV\style{font-size:35px}{\int\i…

Questions

Evаluаte the integrаl ∫∫Q∫xz dVstyle{fоnt-size:35px}{intintlimits_Qint{xz dV}} where Qstyle{fоnt-size:35px}{Q} is the quarter оf the unit sphere x2+y2+z2=1style{font-size:35px}{x^2+y^2+z^2=1} in octants I and IV (i.e. with 0≤x≤1style{font-size:35px}{0leq xleq 1}, -1≤y≤1style{font-size:35px}{-1leq yleq 1}, and 0≤z≤1style{font-size:35px}{0leq zleq 1}).

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