Answer
$\ln |y^2-25|+c$
Work Step by Step
Solve $\int\dfrac{2ydy}{y^2-25}$
Let $p=y^2-25$ and $dp=2ydy$
This implies $\int\dfrac{2ydy}{y^2-25}=\int\dfrac{dp}{p}=\ln|p|+c$
Since, $p=y^2-25$
Thus, $=\ln |y^2-25|+c$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 7 - Section 7.1 - The Logarithm Defined as an Integral - Exercises - Page 401: 3
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