Area Between Curves: Ace AP Calculus Like a Pro

Finding the Area Between Curves That Intersect at More Than Two Points

Samuel Baker

6 min read

Next Topic - Volumes with Cross Sections: Squares and Rectangles

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Study Guide Overview

This study guide covers finding the area between curves that intersect at more than two points. It explains the process of calculating the definite integral of the absolute value of the difference between two curves. Key steps include identifying intersection points, graphing the functions, choosing a slicing approach (vertical or horizontal), setting up the integral based on intervals, and evaluating the integral. The guide provides a detailed walkthrough example and a practice problem with a solution, focusing on applying the area formula with multiple intersection points.

#8.6 Finding the Area Between Curves That Intersect at More Than Two Points

Welcome back to AP Calculus with Fiveable! In the last two study guides, we discussed how to find the area between curves expressed as functions of $x$ and as functions of $y$ . Today, we’re going to apply what we know from those key topics to curves that intersect at more than two points! 🧠

#📏 Understanding Finding Area Between Curves

In calculus, finding the area between curves intersecting at more than two points is crucial. This technique involves calculating the definite integral of the absolute value of the difference between the two curves over a given interval. The formula for the area between two curves $y=f(x)$ and $y=g(x)$ from $x=a$ to $x=b$ is given by:

 $Area...$

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