MatLab code for these Integrals.

1. Jan 31, 2014

John Mark

How can I write proper language for these integrals in MatLab ?

Best,

John Mark

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2. Jan 31, 2014

Simon Bridge


1) $$\iint e^{-(x^4+y^4)}\;\dx\dy$$ 2) $$\iint e^{-(x^4+y^4)}(x^2+y^2)x^2y^2e^{-2x^2y^2}\;\dx\dy$$

What have you tried?
How would you normally handle integrals in matlab?
i.e. what's the trouble you are having here?

(Otherwise it just looks like a couple of homework problems.)

3. Feb 1, 2014

John Mark

I need to write the code of solutions by MonteCarlo method in MatLab for my scientific research. These are the integrals which I'm struggling with.

4. Feb 1, 2014

Simon Bridge

Have you had a look how matlab normally gets used to simulate monte-carlo?
http://www.mathworks.com/discovery/monte-carlo-simulation.html
http://www.columbia.edu/~mh2078/MCS04/MCS_overview.pdf
http://physics.gac.edu/~huber/envision/instruct/montecar.htm

How would you normally handle integrals in matlab?

Basically, I still don't know where your problem lies.
i.e. in a Monte Carlo sim, would want to evaluate a radius ... which is $r^2=x^2+y^2$ ?
Have you realized that $(x^2+y^2)^2=x^4+y^4+2x^2y^2$ ?