define a function which computes numerical integral

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Given 2 function f=@(x),g=@(x) I would like to define the function cg1return =@(t) int(f(s) * int(g(z), z == (0..s)), s == (0..t)) which gives to me the the result of the numeric integral from 0 to t. In other words it takes as input the extreme of integration "t" and gives me back the result of this nasty double integral.

Answers (1)

Torsten
Torsten on 13 Apr 2017
function main
t = ...;
cg1return = integral(@fun,0,t);
function y = fun(s)
f = @(s)...;
g = @(z)...;
for i=1:numel(s)
y(i) = f(s(i))*integral(g,0,s(i));
end
But my first solution was much more efficient :-)
Best wishes
Torsten.
  2 Comments
giorgione palma
giorgione palma on 13 Apr 2017
Thank you, but I don't understand how are the function @fun and the vector "s" defined.
Torsten
Torsten on 13 Apr 2017
@fun is defined as a function routine which is below the call "cg1return = integral(@fun,0,t);"
The vector s does not need to be defined by you. You only have to fill in the functions f and g and the end point t of integration.
Best wishes
Torsten.

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