I have a series of equations of the form: $p \int_0^\infty f(x) dx = \int_\delta^\infty g(x) dx$ where p is a probability (between 0 and 1).
In other words, I have some fraction of the area under the curve, being equal to the area under the curve of another function, starting at point delta, rather then 0. Please note that the two functions are not the same.
I'd like to set the values of p and delta such that the equations balance. This can be fixing, say p, to a constant and solving for \delta or vice versa ( I have small set of values of special interest for each) but even better would be a function or a plot that shows when the equation balances.
My question is is there a softwareor a webservice where I can input my equation and it would return this function\plot\values?
Thanks