Purchase Solution

# Setting up a Riemann Sum

Not what you're looking for?

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.

##### Solution Summary

The method of formulating a Riemann sum.

##### Solution Preview

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 ...

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Probability Quiz

Some questions on probability

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts