There are times when you need to find the area under a curve, but you are simply unable to integrate the function that generates the curve. Or maybe you have a bunch of data that can’t be modeled by a regression equation, yet you need the accumulated product of the independent and dependent variables. What can you do?

Trapezoids to the rescue! Adding up the areas of trapezoids can give you surprisingly good approximations of the area under a function. It’s a relatively easy process that yields very good results. Details are in my screencast below: