Calculus UNIT505a: What's LRTE?

2769 days ago by MATH4R2013

#LRTE f(x) from x=a to x=b for n rectangles! f(x)=exp(x^2) a=1 b=2 n=1000 h=(b-a)/n l=sum([f(a+i*h)*h for i in range(n)]).n(digits=6) r=(l-f(a)*h+f(b)*h).n(digits=6) t=(r+l)/2 e=(r-l)/2 print "lSum\t\trSum\t\ttrapSum\t\ttrapError" print l,"\t",r,"\t",t,"\t",e show(integrate(f(x),x,a,b).n()) plot(f(x),a,b) 
       
lSum		rSum		trapSum		trapError
14.9641 	15.0159 	14.9900 	0.0259399

lSum		rSum		trapSum		trapError
14.9641 	15.0159 	14.9900 	0.0259399