   Chapter 5.2, Problem 55E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Use the properties of integrals to verify the inequality without evaluating the integrals. ∫ 0 4 ( x 2 − 4 x + 4 ) d x ≥ 0

To determine

To verify: The inequality of the integral function 04(x24x+4)dx0 using the properties of integrals.

Explanation

Given information:

The integral function is 04(x24x+4)dx0.

The region lies between x=0 and x=4.

Property 6 of integrals:

If f(x)0 for axb, then abf(x)dx0 (1)

Consider the function f(x)=(x24x+4)

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