This sma notation is just a fancy way of writing the **sum** of the areas of the six rectangles. Bourne A building has parabolic archways and we need to supply glass to close in the archways. We could also find the area using the outer rectangles. See Archimedes and the area of a parabolic segment.] See the **Riemann** **Sums** applet where you can interactively explore this concept. *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.

## How to solve riemann sum problems

You can play with this concept further in the Reimann __Sums__ section. 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.

The

RiemannSumformula provides a precise definition of the definite integral as the limit of an infinite series.

### How to solve riemann sum problems

#### How to solve riemann sum problems

We get a better result if we take more and more rectangles. Term so we cannot *solve* it using any of the integration methods we have met so far. (This is usually *how* software like Mathcad or graphics calculators perform definite integrals).

**Problems** that require students to determine left, rht, midpoint, trapezoidal, upper or lower **Riemann** **sums** are frequent in AP Calculus AB tests. HOW TO WRITE NUMBER IN KANJI 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.

How to solve riemann sum problems:

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