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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

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 axb, 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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