Using Matrices to Integrate Functions (or How You Can Win This Year's Integration Bee in Style)

In this talk we will see how one of the core ideas of linear algebra, that the action of linear transformations can be represented by matrix multiplication, can be applied to integrating functions.  While not at all practical in the grand scheme of calculus, it is a lot of fun to integrate with matrices, and there is a small, small chance that you could use these ideas to take home the 2017 Integration Bee championship.