Integration by numerical methods
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P Rakesh Kumar Dora
on 19 Oct 2020
Commented: P Rakesh Kumar Dora
on 22 Oct 2020
Hi, please someone can help how to compute the following integral numerically, since analytic integration is not possible for all values of "z". Here " z" lies in between "0" to "1".
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Accepted Answer
Alan Stevens
on 19 Oct 2020
Something like this:
z = 0.01:0.01:1;
I = zeros(1,numel(z));
for i = 1:numel(z)
I(i) = integral(@(x) sqrt(x)./(exp(x)./z(i) - 1),0,inf);
end
plot(z,I),grid
3 Comments
Alan Stevens
on 19 Oct 2020
Wolfram Alpha gives a result in terms of a function Li. MATLAB doesn't seem to have that function (unless it is there under another name!).
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