√x+√y=1与坐标轴交于(0, 1), (1, 0)y=(1-√x)²=1-2√x+x面积=∫(0, 1)(1-2√x+x)dx=[x-4/3*x√x+x²/2](0, 1)=1-4/3+1/2=1/6
简单计算一下即可,答案如图所示