Setting up a Riemann Sum
I can't figure out exactly how to formulate a riemann sum.
For example, when given y=x+2; [0,1], and told to "find the area of the region under the curve y=f(x) over the interval [a,b]. To do this, divide [a,b] into n equal subintervals, caluculate the area of the cooresponding circumscribed polygon, and then let n go to infinity." I don't know what to do.
I get that the width of the strips formed is 1/n, and the height is the function y=x+2 evaluated at each x value where the strips are. But I can't seem to figure out how to set it all up. I need some basic steps that I can apply to problems like this one.
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We use the example y=f(x)=x+2 over the interval [0,1] to explain how to set up the Riemann Sum.
First, we divide the interval [0,1] into n equal subintervals. Each interval has length 1/n. Each interval has the form [i/n, (i+1)/n], where 0<=i<=n-1. For each interval, there is a strip. Second, we find the height of the strip. There are three kinds of choices which represent three ...
Solution Summary
The method of formulating a Riemann sum.