MatLab code for these Integrals.

[John Mark]

How can I write proper language for these integrals in MatLab ?
Your helps really appreciated.



John Mark

 

[Simon Bridge]

Those integrals are:$\renewcommand{\dy}{\text{d}y} \renewcommand{\dx}{\text{d}x}$

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.)

 

[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.

 

[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.
If you don't tell me, I cannot help you.

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 $(x^2+y^2)^2=x^4+y^4+2x^2y^2$ ?

 

[alphy]

, thank you for reaching out. I am happy to assist you with writing proper language for integrals in MatLab. To write integrals in MatLab, you can use the "integral" function. This function takes in two arguments: the function you want to integrate and the limits of integration. For example, if you want to integrate the function f(x) from 0 to 1, you would write "integral(f, 0, 1)". Additionally, you can also use the "syms" function to define symbolic variables and then use the "int" function to integrate with respect to those variables. I hope this helps. Let me know if you have any further questions. Best of luck with your code!