Introduction To Integral Calculus Guide

Think of a wine barrel. Johannes Kepler once tried to calculate its volume by imagining the wine was made of infinitely many, infinitely thin disks stacked on top of each other. By "summing" the areas of all those thin disks, he found the volume of the whole container.

Centuries later, in the 1600s, Gottfried Wilhelm Leibniz and Isaac Newton independently discovered that integration was actually the "undoing" of differentiation. While differential calculus looks at the (like how fast a car is going right now), integral calculus looks at the accumulation (how much distance the car has covered in total). Introduction to integral Calculus

Today, we use this same logic—formally called a —to calculate everything from the trajectory of a rocket to the growth of a bacterial population. Think of a wine barrel