Plot of a numerical integration

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P Rakesh Kumar Dora 2020-10-23

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/624138-plot-of-a-numerical-integration

评论： Star Strider 2020-10-23

采纳的回答： Star Strider

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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Star Strider 2020-10-23

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/624138-plot-of-a-numerical-integration#answer_522838

在 MATLAB Online 中打开

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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P Rakesh Kumar Dora 2020-10-23

Please can you tell how to locate precise value of the integrand corresponding

to precise value of "z" in the plot?

Star Strider 2020-10-23

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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