Calculus Calculus Math Forum

 November 21st, 2017, 06:36 PM #1 Newbie   Joined: Apr 2016 From: Wonderland Posts: 23 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... https://imgur.com/a/2JnDw November 21st, 2017, 07:21 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,696 Thanks: 2681 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 Tags converting, integral, limits Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post liegex Calculus 2 September 24th, 2017 02:44 PM DakshD Calculus 1 November 8th, 2016 12:38 PM johnboy1985 Calculus 3 March 19th, 2015 05:47 AM chessmath2009 Calculus 1 November 1st, 2012 04:35 AM kunisch Calculus 2 June 15th, 2010 11:37 AM

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