University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 5 - Section 5.3 - The Definite Integral - Exercises: 4

Answer

$\int_{1}^{4}\frac{1}{x} dx$

Work Step by Step

By using the definition of the definite integral, P is a partition of [1,4], therefore the lower and upper limits of the integration are 1 and 4. $f(c_{k})=\frac{1}{c_{k}}$ is the function in the additive of the Riemann sums, therefore $f(x)=\frac{1}{x}$. Therefore the solution is: $\int_{1}^{4}\frac{1}{x} dx$.
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