- #1
gn0m0n
- 33
- 1
Hi,
I am trying to calculate a double integral, in Mathematica it could be denoted
Integrate[(x*y)/(x*y-m2/s2),{x,0,1},{y,0,1-x}]
That is,
\int\int\frac{xy}{(xy-m^{2}/s^{2})}dydx with boundaries y=0,y=1-x and x=0,x=1. m and s are constants, of course.
Now, I get some fairly crazy-looking and unhelpful results for the y-integral from Mathematica but I simply used a table of integrals and plugging in obtained
1-x+\frac{1}{x}*\frac{m^{2}}{s^{2}}*Ln|x-x^{2}-\frac{m^{2}}{s^{2}}|
Now of course when I integrate this from x=0 to x=1 then I have a problem as x goes to 0. Someone suggested using interpolation somehow but I know very little about that and don't see if this is where to apply it. I don't think the integral should be infinite - perhaps the y-integral was wrong?
Any help would be much appreciated!
I am trying to calculate a double integral, in Mathematica it could be denoted
Integrate[(x*y)/(x*y-m2/s2),{x,0,1},{y,0,1-x}]
That is,
\int\int\frac{xy}{(xy-m^{2}/s^{2})}dydx with boundaries y=0,y=1-x and x=0,x=1. m and s are constants, of course.
Now, I get some fairly crazy-looking and unhelpful results for the y-integral from Mathematica but I simply used a table of integrals and plugging in obtained
1-x+\frac{1}{x}*\frac{m^{2}}{s^{2}}*Ln|x-x^{2}-\frac{m^{2}}{s^{2}}|
Now of course when I integrate this from x=0 to x=1 then I have a problem as x goes to 0. Someone suggested using interpolation somehow but I know very little about that and don't see if this is where to apply it. I don't think the integral should be infinite - perhaps the y-integral was wrong?
Any help would be much appreciated!