Introduction

Integral Calculus – II     

Introduction

History of integration begins over 2500 years ago. The first Greek Mathematician Antiphon (around 430 BC(BCE)) introduced the “method of exhaustion” to find areas of simple polygons and more complicated curves. (method of exhaustion means dividing the given area into infinite number of triangles).Though Antiphon invented the method of exhaustion to find area bounded by complicated curves, the mathematician Eudoxus did the logical development in this method of exhaustion. Later Euclid used this method to calculate the area of circle.

Using the same method of exhaustion Archimedes (287 BC(BCE)-217 BC(BCE)) find the area bounded by parabola. Thus using integration area bounded by curves is developed. We will see the method of finding area by using integration in this chapter.