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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

True or False? In Exercises 73-76, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

The definite integral of a vector-valued function is a real number.

To determine

Whether the statement “The definite integral of a vector-valued function is a real number” is true or false.

Explanation

The provided statement “The definite integral of a vector-valued function is a real number” is false.

Example:

Let

Now, first integrate the function with limits from 0 to 1.

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P-10PSCh-12 P-11PSCh-12 P-12PSCh-12 P-13PSCh-12 P-14PS

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