Answer
$=t+\ln(t)+C$
Work Step by Step
Splitting apart the numerator into two separate terms leaves $$\int(1+\frac{1}{t})dt$$ Using the power rule for integration leaves $t+ln(t)+C$.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.2 Derivatives And Integrals Involving Logarithmic Functions - Exercises Set 6.2 - Page 426: 65
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