Mathematics Videos A growing collection of videos made with Manim. Calculus Videos Midpoint Riemann sum of the function $f(x) = x^2 + 1$ on the interval $\left[0, 2\right]$. Sketching the polar curve $r(\theta) = 4 + 4\cos(\theta)$. Sketching the polar curve $r(\theta) = 2 \sin(5\theta)$.