Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 5 - Integration - 5.2 Definite Integrals - 5.2 Exercises: 7

Answer

The net area of the region with zero width is zero, and thus is this definite integral.

Work Step by Step

In general, the definite integral $$\int_{a}^bf(x)dx$$ gives the net area of the region bounded by the graph of the function, the $x$ axis, and the vertical lines $x=a$ and $x=b$. When $a=b$ this region appears to have no width and thus its net area is equal to zero and so is the integral $$\int_a^af(x)dx.$$
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