Optimize the construction of a function for quadrature purposes
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Hello,
I want to compute the integral of a function which is the linear combination of some known function family (here, Fourier functions):
MyInt = integral(@(t) myfun(t), 0, 2*pi);
My function myfun(t) is built as follows:
function Output = myfun(t)
Output = 0;
for p = 1:20
Output = Output + 1/p.*cos(p*t);
Output = Output + 1/(2*p).*sin(p*t);
end
I can't think of a way to vectorize what's above without the for loop? Can we do better?
Thank you
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