Vector Fields - Calculating the Line Integral Work Around Closed Paths

This is part of my classical mechanics series. You can find all my videos in the series in the following playlist.

Here are three vector fields:
F1 = -mg y-hat
F2 =cx x-hat - b y-hat
F3 = -cy x-hat + cx x-hat

For each field, I calculate the work around a closed path - both analytically and numerically (with python).

Here is the code

[fizixx]

The beauty of code, having so many possibilities.