Prime numbers.

There is a video of the Prime numbers.

Uses of integration in real life

1. Applications of the Indefinite Integral shows how to find displacement (from velocity) and velocity (from acceleration) using the indefinite integral. There are also some electronics applications.

In primary school, we learnt how to find areas of shapes with straight sides (e.g. area of a triangle or rectangle). But how do you find areas when the sides are curved? e.g.

2. Area under a Curve and
3. Area in between the two curves. Answer is by Integration.
4. Volume of Solid of Revolution explains how to use integration to find the volume of an object with curved sides, e.g. wine barrels.
5. Centroid of an Area means the cenetr of mass. We see how to use integration to find the centroid of an area with curved sides.
6. Moments of Inertia explain how to find the resistance of a rotating body. We use integration when the shape has curved sides.
7. Work by a Variable Force shows how to find the work done on an object when the force is not constant.
8. Electric Charges have a force between them that varies depending on the amount of charge and the distance between the charges. We use integration to calculate the work done when charges are separated.
9. Average Value of a curve can be calculated using integration.