Problem 1261. Find the definite integral of various linear functions

Created by Bruce Raine

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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.

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Last Solution submitted on Apr 30, 2025

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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.

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Problem 1261. Find the definite integral of various linear functions

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Problem 1261. Find the definite integral of various linear functions

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