Answer
$$\frac{2}{\pi}$$
Work Step by Step
(a) We find:
$\int_{0}^{1} \sin x \pi d x=\frac{1}{\pi} \int_{0}^{\pi} \cos u d u=2 \cdot \frac{1}{\pi} =\frac{2}{\pi}$
(b) We know:
$\int_{0}^{1} \sin (x \pi) d x=\frac{2}{\pi} \approx 0.63662$
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 4 - Integration - 4.9 Evaluating Definite Integrals By Substitution - Exercises Set 4.9 - Page 341: 47
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