Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 4 - Integration - 4.5 The Definite Integral - Exercises Set 4.5 - Page 309: 46

Answer

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Work Step by Step

The definite integral contains bounds, a and b, and denotes the area under the curve between a and b. The indefinite integral of $f(x)$ is a function. The Fundamental Theorem of Calculus relates these two by: \[ \begin{array}{l} \int f(x) d x=F(x) \\ \int_{a}^{b} f(x) d x=-F(a)+F(b) \end{array} \]
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