University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 5 - Practice Exercises - Page 343: 48



Work Step by Step

$$A=\int\frac{(t+1)^2-1}{t^4}dt$$ $$A=\int\frac{t^2+2t+1-1}{t^4}dt$$ $$A=\int\frac{t^2+2t}{t^4}dt$$ $$A=\int\Big(\frac{1}{t^2}+\frac{2}{t^3}\Big)dt$$ $$A=\int\Big(\frac{1}{t^2}+2t^{-3}\Big)dt$$ $$A=-\frac{1}{t}+\frac{2t^{-2}}{-2}+C$$ $$A=-\frac{1}{t}-t^{-2}+C$$ $$A=-\frac{1}{t}-\frac{1}{t^2}+C$$ $$A=-\frac{t+1}{t^2}+C$$
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