This video explains Greenâs Theorem and how it helps make line integral computations easier. This method is a very interesting and helpful way of making calculations. Of course, this only works if you have a closed curve. Some good examples are shown of how Greenâs Theorem actually works in practice. The geometry of these theorems is examined in much of this lecture to help understand what is really going on. This video also serves to justify and prove parts of Greenâs Theorem.