Finding Area Under Curve with Stochastic Model

[kieran1black2]

I have an exponential function graph that was given to me as a question i had to find the points and find three different ways of finding the area under the curve.

I found an Empirical model (finding the formula and integrating from one point to another)

I found a Finite Element model (either using simpson's rule or the trapezoidal rule)

But there seems to be another one called a Stochastic model or probability model.

My question is is there anyone that knows where to find this on the net or knows of it right off the back? I would like to know just the rule or steps and i will do the work myself... thanks

 

[andrevdh]

You get some device called a planimeter that is (was) used to determine the area under a graph, or the area of any flat surface.

 

[kieran1black2]

but that has nothing to do with the stochastic model or probability model...

i need a formula or set of steps not a tool...

 

[andrevdh]

Other numerical integration methods are Rhomberg, adaptive quadrature and Gauss-Legendre.