Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.2* The Natural Logarithmic Functions - 6.2* Exercises - Page 446: 65


$\int_2^4\frac{3}{x}dx$ = $3$ ln$2$

Work Step by Step

Evaluate the integral $\int_2^4\frac{3}{x}dx$. $\int_2^4\frac{3}{x}dx$= $3\int_2^4\frac{1}{x}dx$ This implies $=3ln[|x|]_2^4$ $=3[ln4-ln2]$ $=3 [ln\frac{4}{2}]$ Hence,$\int_2^4\frac{3}{x}dx$ = $3$ ln$2$
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