Every once in a while you’ll get a piece of maths which will elicit a response of “wat?”

Find the area of the region inside the rose and inside the circle .

Every once in a while you’ll get a piece of maths which will elicit a response of “wat?”

Find the area of the region inside the rose and inside the circle .

Simpson’s rule is given (in my textbook) as such:

We’ve all heard the complaints before: “I just don’t get maths!” “Oh no, not a maths problem! I failed that in school!” There is a pervasive fear and resentment of mathematics in westernized society, bordering on the level of derision that pop-culture takes toward religion.

This is a really cool trick I only recently learned. Evaluating limits has useful applications, and this little trick allows the evaluation of limits which, on the surface, seem impossible. Consider

Let , and let
.^{1} If follows that