# Region Between Polar Curves

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 $r=4\sin2\theta$ and inside the circle $r=2$.

# Computational Re-expression of Simpson’s Rule

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

# Is Maths Being Taught Incorrectly?

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.

# Limit of Impossibility

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

# Euler’s Formula, or a Study in Cool

Let $i=\sqrt{-1}$, and let $e^{x}=\sum_{k=0}^{\infty}\frac{x^{k}}{k!}$.1 If follows that