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# AP Calculus 4.2 Area Under a Curve

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Author: Danny Whittaker
##### Description:

In this lesson we will be looking at the area under a curve.  After watching the videos you will be able to:

• Use sigma notation to write and evaluate a sum
• Understand the concept of area
• Approximate the area of a region under a curve using rectangles
• Find the area under a curve using limits

An introduction to the concept of using rectangles and limits to calculate the area under a curve.

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Tutorial

## 4.2 Area

Here is the 4.2 Area tutorial.  Enjoy the videos, take the quiz, show your genius!

## Lecture Notes

Print and follow along as we go.

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Source: CREATED BY TONY RECORD OF AVON HIGH SCHOOL IN INDIANAPOLIS

## Sigma Notation

A brief review of sigma notation and some of the properties and formulas for evaluating them.

## Left, Right, Upper, and Lower Sums

Introduces the different types of approximation sums that you can use.

## Finding the Area of a Region

A couple examples of finding the area of a region under a curve.

## Midpoint Rule

Very brief description of the midpoint rule.