Introducing Integration with Areas under Graphs

Why we like this activity....
This is an awesome introduction to integration. The power of Autograph enables the generation of a formula
extremely quickly.

How this activity can be used....
You will need to have access to computers. The generality can be achieved in less than one hour.

What to expect when using this activity, from our experience...
Autograph is a very intuitive piece of software and students pick up how to use it extremley quickly.

Extra notes

Find out more about Archimedes and the history of integration

Author/Date Richard Wade 19/09/09

Credits Archimedes!

Introducing Integration with Areas under Graphs
	Description/Aim
		The aim of this investigation is to find the general formula for finding the area bounded by a polynomial curve and the x axis by a numerical method. No pre-requisite knowledge of integration is required. This is a classic introduction of integration made possible by the use of the software package Autograph (30 day trial version can be downloaded from here).

	Teachers Notes - Why? How? What?
	Why we like this activity.... This is an awesome introduction to integration. The power of Autograph enables the generation of a formula extremely quickly. How this activity can be used.... You will need to have access to computers. The generality can be achieved in less than one hour. What to expect when using this activity, from our experience... Autograph is a very intuitive piece of software and students pick up how to use it extremley quickly. Extra notes Find out more about Archimedes and the history of integration Author/Date Richard Wade 19/09/09 Credits Archimedes!
	mathematics IB higher standard calculus integration investigation autograph
	www.thinkmathematics.com


	Great ideas and resources for teaching engaging mathematics lessons

Great ideas and resources for teaching engaging mathematics lessons

Introducing Integration with Areas under Graphs