Answer
$$\int\frac{3t-2}{t+1}dt=3t-5ln\left | t+1 \right |+C$$
Work Step by Step
$$\int\frac{3t-2}{t+1}dt=\int\frac{3t+3-5}{t+1}dt=\int(3-\frac{5}{t+1})dt$$
$$=3t-5ln\left | t+1 \right |+C$$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 7 - Section 7.4 - Integration of Rational Functions by Partial Fractions. - 7.4 Exercises - Page 501: 8
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