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Product of one-dimensional integrals, numerical integration

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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?
  2 Comments
DIMITRIS GEORGIADIS
DIMITRIS GEORGIADIS on 17 Apr 2021
Thank you for your answer. I mean how to program it appropriately.

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Accepted Answer

Divija Aleti
Divija Aleti on 22 Apr 2021
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

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