Introduction To Integral Calculus -

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.

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 Introduction to integral Calculus

On November 11, 1675, Leibniz demonstrated this for the first time by using the integral symbol ( ∫integral of Think of a wine barrel

), which is actually an elongated "S" for "sum". He showed that if you have a graph showing a changing rate, the represents the total amount accumulated. The Core Concept: Adding the "Infinitely Thin" This is the story of how humans learned