How to plot a two-dimensional Integral function

Questions
,
1

I am just a beginner with Mathematica. I need to plot (and later, to evaluate) a 2D function (g[d,lambda]) whose variables appear both in the argument of a triple integral and the limits, as follows:

fprobability[x_, y_, z_] := Exp[-Sqrt[y^2 + (z - x)^2]/gamma]

g[d_,lambda_]:= Integrate[fprobability[x, y, z], {x, 0, d}, {y, -Infinity, Infinity}, {z, 0,   d}]

Any clue?

2

Hi Enrique,

Here’s a suggestion.

fprobability[x_, y_, z_] := Exp[-Sqrt[y^2 + (z - x)^2]/0.1];
g[d_, lambda_] := NIntegrate[fprobability[x, y, z], {x, 0, d}, {y, -Infinity, Infinity}, {z, 0, d}, AccuracyGoal -> 5];
Plot3D[g[d, lambda], {d, 0, 1}, {lambda, 0, 1}]

The output is

ScreenShot2015-02-05at20.33.44.png
ScreenShot2015-02-05at20.33.44.png380×278 11.3 KB

So basically, I gave Mathematica a value for “gamma”, without which numerical integration would not work, and secondly I used numerical integration, i.e. NIntegrate.

Cheers,

M.