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: 8

Answer

$\int_{0}^{\pi/4} tan(x) dx$.

Work Step by Step

By using the definition of the definite integral, P is a partition of $[0,\pi/4]$, therefore the lower and upper limits of the integration are 0 and $\pi/4$. $f(c_{k})=tan ({c_{k}})$ is the function in the additive of the Riemann sums, therefore $f(x)=tan(x)$. Therefore the solution is: $\int_{0}^{\pi/4} tan(x) dx$.
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