   Chapter 4.3, Problem 15E

Chapter
Section
Textbook Problem

Writing a Definite Integral In Exercises 13-22, write a definite integral that represents the area of the region. (Do not evaluate the integral.) f ( x ) = 4 − | x | To determine

To calculate: Definite integral representing the area of the provided region f(x)=4|x|.

Explanation

Given: f(x)=4|x| and, the region is:

Formula used:

On a closed interval [a,b], if f(x) is continuous and non-negative, then the area of the region bounded by the graph of f(x), the x-axis, and the vertical lines x=a and x=b can be determined using:

Area =abf(x)dx

Calculation:

From the provided figure, the region is bounded by the graph of

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