Integral of exponential function that contains another integral

2 次查看（过去 30 天）

显示更早的评论

djr 2020-5-17

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/526194-integral-of-exponential-function-that-contains-another-integral

评论： Ameer Hamza 2020-5-17

采纳的回答： Ameer Hamza

在 MATLAB Online 中打开

Hello everyone,

I have the following integral:

where

and c is a constant in one case and

in another case. In addition, my r values are

r = linspace(0,4,100);

Can you please help me with the way to code this?

Thank you,

djr

0 个评论
显示 -2更早的评论隐藏 -2更早的评论

请先登录，再进行评论。

请先登录，再回答此问题。

采纳的回答

Ameer Hamza 2020-5-17

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/526194-integral-of-exponential-function-that-contains-another-integral#answer_433014

在 MATLAB Online 中打开

Try this

inner_int = @(t) integral(@(s) (1-exp(-s))./s, 0, t);
H = @(xi) integral(@(t) exp(-t+3*inner_int(t)), 0, xi, 'ArrayValued', 1);
r = linspace(0,4,100);
c = 1; % for example
Xi = c*r.^2;
H_val = zeros(size(Xi));
for i=1:numel(Xi)
    H_val(i) = H(Xi(i));
end
plot(Xi, H_val);
xlabel('\xi');
ylabel('H(\xi)')