Answer
$-\frac 1 {\pi} csc\pi x +C$
Work Step by Step
$\int csc\pi xcot\pi xdx$
$u=\pi x; \frac 1 {\pi} du=dx$
$\int cscucotu\frac {du}{\pi}$
$-\frac 1 {\pi} csc\pi x +C$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 8 - Integration Techniques, L'Hopital's Rule, and Improper Integrals - 8.1 Exercises - Page 512: 30
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