Product of one-dimensional integrals, numerical integration

I want to compute the following product of integrals numerically using the and the tool of Matlab:

where, are known scalar values gathered into a vector and f, g are two continuous and differentiable functions. Any ideas?

[Matt J]

What ideas do you need? You have already said that integral() is the tool you are going to use. That does seem very appropriate.

[DIMITRIS GEORGIADIS]

Thank you for your answer. I mean how to program it appropriately.

Answer 1

[Divija Aleti]

Hi Dimitris,

Have a look at the following example code. I have assumed different functions for 'f' and 'g' and integrated their product from a lower bound of -2 to an upper bound of 2 using the 'int' function. There are 5 known scalar values here (n = 5), which I have gathered into a vector yi.

yi = 1:5;
syms x y 
g(x,y) = x*y;
h = 1;
for i = 1:5
    f(y) = yi(i)*y^3;
    hi = int((f(y).*g(x,y)),y,-2,2);
    h = hi.*h;
end

For more information on 'int', refer to the following link: int

Hope this helps!

Regards,

Divija

[DIMITRIS GEORGIADIS]

Thank you Divija!