Don’t you dare laugh at me when in my last post I showed an illustration of an integral to calculate the area of a square. Because that’s math: a toolbox with multitools. To make it even worse, here’s an example of integration to calculate the area of a trapezoid.

This is a piece of cake. Height is , base is . The trapezoid consists of two equal triangles on both sides and a rectangle in the middle.

The area follows from this:

Now we’re gonna check this by integration. The left side can be defined as the function and the top side as as it is constant. The right side is the mirror image of the left triangle, so we simply take the first integral (of the left triangle) twice.

We get

or

which results in

and

again.

Math = Multitool. Remember.

### Like this:

Like Loading...