restart;
# Trapeziod and Simpson's method for numerical integration.
with(Student[Calculus1]);
    
    

ApproximateInt(x/(1+x^4),x=0..2,method=trapezoid,partition=8,output=plot);

ApproximateInt(x/(1+x^4),x=0..2,method=simpson,partition=4,output=plot);