A *Riemann* *sum* is a method used to find the exact total area under a curve on a graph, which is also known as an integral. By the way, you don’t need sma notation for the math that follows. Cross your fingers and hope that your teacher decides not to cover the following. Re the formula for a rht __sum__: Here’s the same formula written with sma notation: Now, work this formula out for the six rht rectangles in the fure below. With the rht-hand __sum__, each rectangle is drawn so that the upper-rht corner touches the curve; with the left-hand __sum__, the upper-left corner touches the curve.

## How to solve riemann sum problems

In the fure, six rht rectangles approximate the area under between 0 and 3. We get a better result if we take more and more rectangles.

Term so we cannot

solveit using any of the integration methods we have met so far. (This is usuallyhowsoftware like Mathcad or graphics calculators perform definite integrals).

### How to solve riemann sum problems

#### How to solve riemann sum problems

*Riemann* *Sum* A *Riemann* *sum* is used in calculus as one way to approximate the area under a curve — which is the same as calculating an integral. If you plug 1 into i, then 2, then 3, and so on up to 6 and do the math, you get the *sum* of the areas of the rectangles in the above fure.

The *Riemann* *Sum* formula provides a precise definition of the definite integral as the limit of an infinite series. HOMEWORK HELPLINES The midpoint rule uses the midpoint of the rectangles for the estimate.

How to solve riemann sum problems:

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