解:y=x^2和y=4x-3联立,解得x1=1,y1=1;x2=3,y2=9所围成的平面图形的面积=C(1---->3,4x-3-x^2)dx=(2*x^2-3x-1/3*x^3)|(1----->3)=16-6-26/3=4/3
先算交点:y=x^2y=4x-3x^2=4x-3x^2-4x+3=0x=3 or x=1面积=|∫[x^2-(4x-3)]dx | (1,3)=|1/3x^3-2x^2+3x| (1,3)=4/3