The trapezoidal rule integrates Simpson's rule integrates y=P2(x) =P(x)over [xo,x1]=[0,0.5]. over [xo,x2]=[0,1]. Simpson's 3/8 rule integrates y=P3(x) Boole's rule integrates y=P4(x)over over[xo,x3]F[0,1.5]. [x0,x4]=0,2].3.5 3 2.5 2 1.5 1 0.5 -0.5 -1 -1.5 -2 -2.5 -0.5 0.5 1 1.5 2 2.5 3 3.5 3.5 3 2.5 2 1.5 1 0.5 -0.5 -1 -1.5 -2 -2.5 -0.5 0.5 1 1.5 2 2.5 3 3.5 3.5 3 2.5 2 1.5 1 0.5 -0.5 -1 -1.5 -2 -2.5 -0.5 0.5 1 1.5 2 2.5 3 3.5 3.5 3 2.5 2 1.5 1 0.5 -0.5 -1 -1.5 -2 -2.5 -0.5 0.5 1 1.5 2 2.5 3 3.5 The trapezoidal rule integrates y=P1 (x) over [x0 , x1 ]=[0, 0.5]. Boole’s rule integrates y=P4 (x) over [x0 , x4 ]=[0, 2]. Simpson’s 3/8 rule integrates y=P3 (x) over [x0 , x3 ]=[0, 1.5]. Simpson’s rule integrates y=P2 (x) over [x0 , x2 ]=[0, 1]