Today, students as young as twelve learn how to compute areas and volumes of many different shapes including circles, trapezoids, octagons, and others. What many students may not realize though is that the formulas they learn were once considered groundbreaking and are the result of thousands of years of mathematical advances. Calculus- and more specifically integration where also derived in a similar way. By understanding the correlations between integration and geometry, we can better understand calculus in general.
