   Chapter 4.4, Problem 25E

Chapter
Section
Textbook Problem

Evaluating a Definite Integral In Exercises 9-36, evaluate the definite integral. Use a graphing utility to verify your result. ∫ 0 5 | 2 x − 5 |   d x

To determine

To calculate: The value of the definite integral 05|2x5|dx and to verify it.

Explanation

Given:

The definite integral 05|2x5|dx.

Formula Used:

The following integration formulas hold:

xkdx=xk+1k+1+c

Calculation:

The modulus function in the integrand can be rewritten as:

|2x5|={52x      x<522x5      x52}

Use this to set up the definite integral as:

05|2x5|dx=052(52x)dx+5

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