University Calculus: Early Transcendentals (3rd Edition)

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

Chapter 4 - Practice Exercises - Page 279: 117

Answer

$\frac{\theta^{2-\pi}}{2-\pi}+C$

Work Step by Step

Calculate the anti-derivative. we know that: $\int x^{n} dx=\dfrac{x^{n+1}}{n+1}+c$ where $c$ is a constant of proportionality. Then $\int \theta^{1-\pi} d\theta=\dfrac{\theta^{1-\pi+1}}{1-\pi+1}+C=\frac{\theta^{2-\pi}}{2-\pi}+C$
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