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Finding the Area Between Curves Expressed as Functions of x

Hannah Hill

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Next Topic - Finding the Area Between Curves Expressed as Functions of y

Study Guide Overview

This study guide covers finding the area between curves expressed as functions of x. It explains how to identify the top and bottom functions, find their intersection points, and calculate the area using definite integrals. It includes a formula, walkthrough example, and a 2022 AP Calculus AB FRQ related to this topic. The importance of using a graphing calculator is also emphasized.

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Previous Topic - Using Accumulation Functions and Definite Integrals in Applied Contexts Next Topic - Finding the Area Between Curves Expressed as Functions of y

Question 1 of 10

What is the general approach to find the area between two curves, $f(x)$ and $g(x)$ , where $f(x)$ is above $g(x)$ on an interval $[a, b]$ ? 🤔

$\int_a^b [g(x) - f(x)] dx$

$\int_a^b f(x) dx + \int_a^b g(x) dx$

$\int_a^b [f(x) - g(x)] dx$

$\int_a^b |f(x) - g(x)| dx$

Finding the Area Between Curves Expressed as Functions of x

Hannah Hill

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