My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum

Thanks Tree2Thanks
  • 2 Post By v8archie
LinkBack Thread Tools Display Modes
November 21st, 2017, 05:36 PM   #1
Joined: Apr 2016
From: Wonderland

Posts: 14
Thanks: 0

Converting limits to integral

Hi all, I am lost trying to solve this limits question (see photo).

Is there anything wrong with my method? I'm not very sure if I got the conversion right...
Appletree is offline  
November 21st, 2017, 06:21 PM   #2
Math Team
Joined: Dec 2013
From: Colombia

Posts: 7,228
Thanks: 2411

Math Focus: Mainly analysis and algebra
Think about the ordinals and the width of the strips.

The ordinals here come at $\left(\frac{2i}{n}\right)$ for $i=0,1,\ldots,(n-1)$. Thus the first ordinal is zero and the last is $\frac{2(n-1)}{n}$. The strip width is $\frac2n$, so the right hand edge of the last ordinal is at $$\frac{2(n-1)}{n}+\frac{2}{n} = 2$$

Thus your integral limits are at 0 and 2 and you just have to replace $\left(\frac{2i}{n}\right)$ with your variable of integration ($x$).
Thanks from greg1313 and Country Boy
v8archie is online now  

  My Math Forum > College Math Forum > Calculus

converting, integral, limits

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Solving limits with ln integral liegex Calculus 2 September 24th, 2017 01:44 PM
Solve double integral by converting to polar coordinates DakshD Calculus 1 November 8th, 2016 11:38 AM
Derivative of Integral With Limits johnboy1985 Calculus 3 March 19th, 2015 04:47 AM
converting Definite integral to indefine one chessmath2009 Calculus 1 November 1st, 2012 03:35 AM
Notation of integral limits kunisch Calculus 2 June 15th, 2010 10:37 AM

Copyright © 2018 My Math Forum. All rights reserved.