Simpson's Rule and the Trapezoidal Rule

You can animate each one on the "live" worksheet.

>

restart:

>	with(plots):

Warning, the name changecoords has been redefined

>	with(Student[Calculus1]):

>	ApproximateInt(1+x+sin(x^4),x=0..2,method=trapezoid,color=blue,partition=4,output=animation,iterations=8,showarea=true);

>	ApproximateInt(1+x+sin(x^4),x=0..2,method=simpson,color=blue,partition=4,output=animation,iterations=8,showarea=true);

>