高等数学:应用定积分求由下列曲线围成的平面的面积

y^2=2x+1,y=x-1

x^2-2x+1=2x+1

x^2=4x

x1=0?x2=4?y1=0?y2=3

s=∫(y+1-y^2/2+1/2)dy

=∫(y-y^2/2+3/2)dy

=[y^2/2-y^3/6+3/2 x]\

=9/2-1/2-27/6-1/6+6

=10-14/3

=16/3