題目 Problem 8 (10%). Evaluate the integral ∬SxydS\iint_S xydS∬SxydS, where the surface S={(x,y,z)∣x2+y2=1,x≥0,y≥0,0≤z≤1}S=\{(x,y,z)\mid x^2+y^2=1,x\ge 0,y\ge 0,0\le z\le 1\}S={(x,y,z)∣x2+y2=1,x≥0,y≥0,0≤z≤1}. 解答