Every problem in the chapter beside the book’s answer, a chapter at a time as you scroll.

Chapter 4: Line Integrals in the Plane

33 problems · 67 figures

4A-1 §4A source ↗

Answer

4A-2 §4A source ↗

Answer

4A-3 §4A source ↗

Answer

4A-4 §4A source ↗

Answer

4B-1 §4B source ↗

Answer

4B-2 §4B source ↗

Answer

4B-3 §4B source ↗

Answer

4C-1 §4C source ↗

Answer

4C-2 §4C source ↗

Answer

4C-3 §4C source ↗

Answer

4C-5 §4C source ↗

Answer

4C-6 §4C source ↗

Answer

4D-1 §4D source ↗

Answer

4D-2 §4D source ↗

Answer

4D-3 §4D source ↗

Answer

4D-4 §4D source ↗

Answer

4D-5 §4D source ↗

Answer

4E-1 §4E source ↗

Answer

4E-2 §4E source ↗

Answer

4E-3 §4E source ↗

Answer

4E-4 §4E source ↗

Answer

4E-5 §4E source ↗

Answer

4F-1 §4F source ↗

Answer

4F-2 §4F source ↗

Answer

4F-3 §4F source ↗

Answer

4F-4 §4F source ↗

Answer

4F-5 §4F source ↗

Answer

4G-1 §4G source ↗

Answer

4G-2 §4G source ↗

Answer

4G-3 §4G source ↗

Answer

4G-4 §4G source ↗

Answer

4G-5 §4G source ↗

Answer

4G-6 §4G source ↗

Answer

Loading chapter 5…

Exercises and answers are adapted from 18.02SC Multivariable Calculus by Prof. Denis Auroux, which is free to read and download, and are used under the CC BY-NC-SA 4.0 licence. They are taken from the course’s problem and solution PDFs, cropped as printed, and set for the web, so they may differ slightly from the printed page. This adaptation is released under the same licence and is neither affiliated with nor endorsed by Auroux or MIT OpenCourseWare.