Chapters

Introduction

The area under a graph

Integration (12 Methods)

Year 12

How much fun can be had in one video? Lots!
This video takes a look at the ways you can use to find the area under a graph. Starting with the basic consideration of finding areas of triangles (for straight line graphs) it then moves on to look at how we might find areas under curves.
It starts by looking at splitting a curve into an equally spaced series of trapeziums before moving swiftly on to look at the left endpoint and right endpoint methods of finding the areas.
Examples are shown and a discussion is had, at the end of the video, about the indefinite integral.

Published: July 14, 2018

Length: 16 mins and 32 seconds

Lesson notes

Lesson notes are provided in PDF format and can be downloaded by clicking the link below:

Exam resources

There are currently no associated exam questions for this topic.

Video tags

area under the curve
maths methods
area under the curve integration
area under the curve using rectangles
maths methods unit 3 and 4
left endpoint approximation
right endpoint approximation
trapezium rule integration
how do I find the area under a curve
what is the indefinite integral
definite integral
definite integral area under curve
calculus

LEGAL STUFF

Where videos relate to VCE and I have used VCAA questions the following should be noted:

VCE Maths exam question content used by permission, ©VCAA. The VCAA is not affiliated with, and does not endorse, this video resource. VCE® is a registered trademark of the VCAA. Past VCE exams and related content can be accessed at www.vcaa.vic.edu.au