Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.4 Exercises - Page 354: 108



Work Step by Step

$\int e^{2x} csc(e^{2x})dx$ let $e^{2x}=u$ $2e^{2x}dx=du$ $\int e^{2x} csc(e^{2x})dx$ $=\frac{1}{2}\int csc(u)du$ $=\frac{1}{2}(-ln|csc(u)+cot(u)|)+C$ $=\frac{1}{2}(-ln|csc(e^{2x})+cot(e^{2x})|)+C$
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