# Product of one-dimensional integrals, numerical integration

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DIMITRIS GEORGIADIS el 17 de Abr. de 2021
Comentada: DIMITRIS GEORGIADIS el 22 de Abr. de 2021
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?
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Matt J el 17 de Abr. de 2021
Editada: Matt J el 17 de Abr. de 2021
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 el 17 de Abr. de 2021
Thank you for your answer. I mean how to program it appropriately.

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### Respuesta aceptada

Divija Aleti el 22 de Abr. de 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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DIMITRIS GEORGIADIS el 22 de Abr. de 2021
Thank you Divija!

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