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: 3

Answer

$\int_{-7}^{5} (x^2-3x) dx$.

Work Step by Step

By using the definition of the definite integral, P is a partition of [-7,5], therefore the lower and upper limits of the integration are -7 and 5. $f(c_{k})=(c_{k}^2-3c_{k})$ is the function in the additive of the Riemann sums, therefore $f(x)=(x^2-3x)$. Therefore the solution is: $\int_{-7}^{5} (x^2-3x) dx$.
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