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# Plot of a numerical integration

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P Rakesh Kumar Dora on 23 Oct 2020
Commented: Star Strider on 23 Oct 2020
Please someone can help how to plot the following numerical
integration with respect to "z". Here "z" varies from "0" to "1". The
integral need to be done by numerical integration method. ##### 0 CommentsShowHide -1 older comments

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### Accepted Answer

Star Strider on 23 Oct 2020
Try this:
zv = linspace(0, 1);
for k = 1:numel(zv)
z = zv(k);
u_int(k) = integral(@(u) sqrt(u)/((exp(u)/z)-1) + z/(1-z), 0, Inf, 'ArrayValued',1);
end
figure
semilogy(zv, u_int)
grid
xlabel('z')
ylabel('Integrated Value')
.
##### 6 CommentsShowHide 5 older comments
Star Strider on 23 Oct 2020
The ‘z’ values are the elements of the ‘zv’ vector. They correspond to the elements of ‘u_int’. So ‘z=0’ corresponds to ‘u_int(1)’, ‘z=1’ to ‘u_int(end)’, with end depending on how many elements of ‘u_int’ you choose to calculate.

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