How do you Use Simpson's rule with #n=6# to approximate the integral #int_0^1e^-sqrt(x)dx#? Calculus Methods of Approximating Integrals Integration Using Simpson's Rule 1 Answer Wataru Sep 22, 2014 Let #f(x)=e^{-sqrt{x}}#. By Simpson's Rule, #S_6=[f(0/6)+4f(1/6)+2f(2/6)+4f(3/6)+2f(4/5)+4f(5/6)+f(6/6)]{Delta x}/3 approx 0.534#, where #Delta x={b-a}/n={1-0}/6=1/6# Answer link Related questions What is Integration Using Simpson's Rule? How do you Use Simpson's rule to approximate the integral #int_0^1f(x)dx# with #n = 10#? How do you Use Simpson's rule with #n=8# to approximate the integral #int_0^2root4(1+x^2)dx#? How do you Use Simpson's rule with #n=10# to approximate the integral #int_0^2sqrt(x)*e^(-x)dx#? How do you Use Simpson's rule with #n=8# to approximate the integral #int_0^pix^2*sin(x)dx#? How does Simpson's Rule work? How does the formula #1/90((b-a)/2)^5(f^(4)(zeta))# work for calculating error? How do you write the Simpson’s rule and Trapezoid rule approximations to the #intsinx/x# over... Estimate the area under #y=x^2+x# from #x=0.2# to #x=1# using Simpson's rule with #6# strips? Apply Simpson's Rule with #n=4# to approximate the integral below? See all questions in Integration Using Simpson's Rule Impact of this question 11930 views around the world You can reuse this answer Creative Commons License