Finding the Average Value of a Function on an Interval

Next Topic - Connecting Position, Velocity, and Acceleration of Functions Using Integrals

Study Guide Overview

This study guide covers the average value of a function on an interval using definite integrals. It presents the formula for calculating the average value, provides a step-by-step walkthrough with an example, and offers practice problems with solutions. The guide emphasizes the application of this concept in solving accumulation of change problems and its relevance to AP Calculus FRQs.

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Previous Topic - Applications of Integration Next Topic - Connecting Position, Velocity, and Acceleration of Functions Using Integrals

Question 1 of 6

What is the correct setup to find the average value of the function $f(x) = 2x + 1$ on the interval $[0, 3]$ ? 🤔

$\frac{1}{3} \int_{0}^{3} (2x + 1) , dx$

$\frac{1}{2} \int_{0}^{3} (2x + 1) , dx$

$\int_{0}^{3} (2x + 1) , dx$

$\frac{1}{3} \int_{1}^{4} (2x + 1) , dx$

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Finding the Average Value of a Function on an Interval

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