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Plot of a numerical integration

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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.

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Accepted Answer

Star Strider
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')
.

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Star Strider
Star Strider on 23 Oct 2020
My pleasure!
I do not have Mathematica and have no experience with it. MATLAB does essentially everything I need to do.
If my Answer helped you solve your problem, please Accept it!
.
P Rakesh Kumar Dora
P Rakesh Kumar Dora on 23 Oct 2020
Please can you tell how to locate precise value of the integrand corresponding
to precise value of "z" in the plot?
Star Strider
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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