Integration by numerical methods

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P Rakesh Kumar Dora
P Rakesh Kumar Dora 2020-10-19
评论： P Rakesh Kumar Dora 2020-10-22
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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Alan Stevens
Alan Stevens 2020-10-19
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
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Alan Stevens
Alan Stevens 2020-10-19
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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