Introduction To Integral Calculus Apr 2026

This is the story of how humans learned to calculate the "uncalculable"—from measuring the curve of a circle to tracking the exact distance a car travels as its speed constantly shifts. The Problem: Beyond Straight Lines

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. Introduction to integral Calculus

Around 400 BC, the Greek mathematician Eudoxus began "sandwiching" a circle between polygons. If you put a square inside a circle, it covers some area. If you use an octagon, it covers more. If you keep adding sides—reaching an infinite number—you eventually get the exact area of the circle. This was the birth of : the idea that you can find a total value by adding up an infinite number of tiny, simple parts. The Breakthrough: Leibniz and Newton This is the story of how humans learned

On November 11, 1675, Leibniz demonstrated this for the first time by using the integral symbol ( ∫integral of By "summing" the areas of all those thin