## 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…

## Euler's Formula

Let $i=\sqrt{-1}$, and let $e^{x}=\sum_{k=0}^{\infty}\frac{x^{k}}{k!}$.1 If follows that $$e^{ix}=\sum_{k=0}^{\infty}\frac{\left(ix\right)^{k}}{k!}.$$ Utilizing series expansion…