Answer
$\int \frac{du}{a^{2}+u^{2}}$
$u=2t-1$
$a=2$
Work Step by Step
Try it:
$u=2t-1$
$du=2dt$
$\int \frac{du}{a^{2}+u^{2}}= \frac{1}{a}arctan\frac{u}{a}+C$
$\frac{1}{2}arctan\frac{2t-1}{2}+C$
$\int \frac{du}{a^{2}+u^{2}}$
$u=2t-1$
$a=2$
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: 8
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