Calculating the Area Under a Curve: An Intuitive Introduction

Introduction

One of the most fundamental problems that gave birth to integral calculus was the calculation of areas bounded by curves. The Greeks used method of exhaustion to remedy this problem, particularly on finding the area of a circle. After Descartes’ and Fermat’s invention of Coordinate Geometry, algebraic solutions were utilized.

area under a curve

One of the strategies used to find the area under the function f between a and b is to divide it into sub-intervals and form rectangles as shown in the first figure. Clearly, as the number of rectangles increases, the sum of all the areas of the rectangles gets closer and closer to the area of under the curve. » Read more

Mathematics and Multimedia Blog Carnival #2

Hook, Line and Linker

Welcome to the second edition of the Mathematics and Multimedia Blog Carnival.

One of the new developments is that I am giving a title to each edition of the carnival. The title of second edition: Hook, Line and Linker . As you read, you would know why I have chosen the title.

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