由曲线y^2=x及y=x-2,解得交点为(1,-1)(4,2)所以面积=∫(-1,2)(y+2-y²)dy=(y²/2+2y-y³/3)|(-1,2)=(2+2-8/3)-(1/2-2+1/3)=4+2-1/2-3=5/2
面积=y+2-y²在(-1,2)上的定积分 =(y²/2+2y-y³/3)|(-1,2) =(2+4-8/3)-(1/2-2+1/3) =10/3+7/6 =9/2
22/3