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 - Page 308: 2


$\int_{-1}^{0} 2x^3 dx$

Work Step by Step

By using the definition of the definite integral, P is a partition of [-1,0], therefore the lower and upper limits of the integration are -1 and 0. $f(c_{k})=2c_{k}^3$ is the function in the additive of the Riemann sums, therefore $f(x)=2x^3$. Therefore the solution is: $\int_{-1}^{0} 2x^3 dx$.
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