Integration

The opposite of Differentiation is integration. This is the Riemann sum.

∫αβf(t)⋅dt=lim⁡n→∞∑i=1nf(ti)⋅(ti−ti−1)\begin{gather*} \int_\alpha^\beta f(t)\cdot dt=\lim_{n\to\infty}\sum_{i=1}^n f(t_i)\cdot (t_i-t_{i-1}) \end{gather*}

Integration is much more hellish. You don’t need to know integration for this.