区域D={(x,y)|0<=x<=1,0<=y<=1}分为2部分:D1={(x,y)|0<=x<=1,0<=y<=x²}D2={(x,y)|0<=x<=1,x²<=y<=1}∫∫[D] |y-x²| dxdy=∫∫【0<=x<=1,0<=y<=x²】(-y+x²)dxdy+∫∫【0<=x<=1,x²<=y<=1】(y-x²)dxdy=∫【0,1】dx∫【0,x²】(-y+x²)dy+∫【0,1】dx ∫【x²,1】(y-x²)dy=1/2
简单分析一下,答案如图所示