Find the approximate integral of the following function using Trapezoidal Rule. Use the indicated interval and the number of segments for each problem. Compute also the error of approximated integral for each problem. Lastly, determine the acceptable value of n if each function had to ensure that the error of the method is 0.0005. 1. f(x) = 1 x² +1 at x = [0, 3] where n = 3;

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
Question
Find the approximate integral of the following function using Trapezoidal Rule. Use
the indicated interval and the number of segments for each problem. Compute also the
error of approximated integral for each problem. Lastly, determine the acceptable value
of n if each function had to ensure that the error of the method is 0.0005.
1. f(x) =
1
x² + 1
at x = [0, 3] where n = 3;
Transcribed Image Text:Find the approximate integral of the following function using Trapezoidal Rule. Use the indicated interval and the number of segments for each problem. Compute also the error of approximated integral for each problem. Lastly, determine the acceptable value of n if each function had to ensure that the error of the method is 0.0005. 1. f(x) = 1 x² + 1 at x = [0, 3] where n = 3;
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning