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 November 21st, 2017, 06:36 PM #1 Newbie   Joined: Apr 2016 From: Wonderland Posts: 18 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: 7,502 Thanks: 2511 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

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