Understanding Polar Coordinates

 

Basic Riemann Sum for $I=\displaystyle\int^5_0x(5-x)\,dx$ with 5 intervals.

  

Riemann Sums (Upper and Lower) for an increasing function $y=f(x)$ on partition $\mathcal{P}=\left\{0,\dfrac{1}{n},\dfrac{2}{n},\cdots, \dfrac{n-1}{n},1\right\}$

  

Polar graph $r=2+\sin\theta$.

  

Polar graph $r=3+\cos\theta$.

  

Polar Graph blank 1