Topic: Double integration and commas
I have to evaluate the integral of a 2-variable function over a range on both variables : that's a double integral, which Graph doesn't seem to support without script-coding. In avoiding script-coding, I work with integrating one variable at a time :
Integrating over variable "s" from 0 to "b", using a fixed "t" value :
So I created a point series with this (shortened) list of points where I can vary the value of t :
Using the Area Calculator in Graph, I'll be able to know the numerical value of the double integral.
So here come a few questions :
1) I can't seem to simply write "x" instead of the 0.00, or 0.01 and so on, in the "y" column. That would make it simple. Is there a way to do that?
2) Since I have a hundred integrations to write down in the list (going over "t" from 0 to 1 in 0.01 increments), I used Excel to increment the "t" numbers, and used the concatenate function to patch the beginning and end of the formula. When I get to pasting the table in Graph, Graph automatically changes all commas to points, effectively breaking the formulas. Is there a way to avoid this?
3) do you have a tool ready for numerical results on a double definite integral?