Another method to numerically estimate integrals is called Gaussian Quadrature. This method gives a good numerical estimate while evaluating the integrand at just a few points. Three Point Gaussian Quadrature estimates an integral using only three points, according to the rule: 8 3 [*, f(x) dx = -51 ( − √²³3) + $ƒ(0) + 51(√)) f(x)dx~ 5 9 Use Three Point Gaussian Quadrature to estimate: e dx (Give estimate to six decimal places.) Find the relative error for this estimate: (Give error in scientific notation to three decimal places.) Question Help: Message instructor Submit Part

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Subject : calculations

 

 

Another method to numerically estimate integrals is called Gaussian Quadrature. This method
gives a good numerical estimate while evaluating the integrand at just a few points.
Three Point Gaussian Quadrature estimates an integral using only three points, according to the
rule:
8
3
[*, f(x) dx = -51 ( − √²³3) + $ƒ(0) + 51(√))
f(x)dx~
5
9
Use Three Point Gaussian Quadrature to estimate: e dx
(Give estimate to six decimal places.)
Find the relative error for this estimate:
(Give error in scientific notation to three decimal places.)
Question Help: Message instructor
Submit Part
Transcribed Image Text:Another method to numerically estimate integrals is called Gaussian Quadrature. This method gives a good numerical estimate while evaluating the integrand at just a few points. Three Point Gaussian Quadrature estimates an integral using only three points, according to the rule: 8 3 [*, f(x) dx = -51 ( − √²³3) + $ƒ(0) + 51(√)) f(x)dx~ 5 9 Use Three Point Gaussian Quadrature to estimate: e dx (Give estimate to six decimal places.) Find the relative error for this estimate: (Give error in scientific notation to three decimal places.) Question Help: Message instructor Submit Part
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,