Problem 1261. Find the definite integral of various linear functions

Created by Bruce Raine

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>A definite integral had a minimum and maximum limit. When you solve this type of problem you must use both quad and the trapz functions (easy), returning the absolute value of their difference which should be zero.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

101 Solutions
49 Solvers

Last Solution submitted on May 10, 2022

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

James on 26 Feb 2013

Bruce, please check the answers to your test suite. Granted, it has been a while since I took calculus in college, but I'm pretty sure the answers aren't all zero. :-)

James on 26 Feb 2013

Never mind...just noticed you were looking for the error differences, and not the actual values. It's been a while since I took a Reading Comprehension class as well...

Tim on 26 Feb 2013

This is an "honor system" test suite. For the last case, quad('2*x',0,2) gives 3.9999999999999996, while trapz([0:1/n:2],[0:2/n:4]) gives the exact answer 4 for all values of n from 1 to 100, except n=35, 44, 51, 69, 92, or 100, which all give the same answer as quad.

Problem Recent Solvers49

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 1261. Find the definite integral of various linear functions

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers49

Suggested Problems

More from this Author16

Problem Tags

Community Treasure Hunt

Problem 1261. Find the definite integral of various linear functions

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers49

Suggested Problems

More from this Author16

Problem Tags

Community Treasure Hunt

Players