Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 15: Multiple Integrals - Section 15.1 - Double and Iterated Integrals over Rectangles - Exercises 15.1 - Page 874: 7

Answer

=$2\ln2-1$

Work Step by Step

$\int^1_0\int^1_0\frac{y}{1+x}dxdy$ =$\int^1_0[\ln|1+xy|]^1_0dy$ =$\int^1_0\ln|1+y|dy$ =$[y\ln|1+y|-y+\ln|1+y|]^1_0$ =$2\ln2-1$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.