Integration

Mathematical Methods: Units 1 and 2

Introduction

It's time to make things concrete ... or at least definite!
Having taken a strong along the path of indefinite integrals it's now time to unleash the power of definite integrals! This video looks at why we need to use them to find the areas under functions.
It takes a step back in time and looks at how we can use it to find areas under straight line graphs. It looks at how to use signed areas and how to change the ordinals of the integration sign to change the sign of the area.
There is a fast forward where we look at why finding crossing points is going to be so important for integration.
A number of examples are covered.

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Video tags

vce methods
maths methods unit 3 and 4
definite integral area under curve
definite integral
definite integral u substitution
definite integrals calculus
definite integral absolute value
integration by substitution
integration calculus
signed area calculus
signed area vs total area
signed area integral
basic integration
indefinite integral