Finding the exact area: the definite integral

Integration

Mathematical Methods: Units 1 and 2

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Description

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.

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