   Chapter 5, Problem 7RQ ### 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

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.If f and g are continuous and f(x) ≥ g(x) for a ≤ x ≤ b, then ∫ a b f ( x )   d x ≥ ∫ a b g ( x )   d x

To determine

whether the given statement is true or false.

Explanation

Given information:

If f and g are continuous and f(x)g(x) for axb, then the function as follows:

abf(x)dxabg(x)dx (1)

Explanation for justification of statement:

Show the Comparison Properties of integral as follows:

Consider with the condition f(x)g(x) for a

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