Numerical Integration in Matlab

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Raj Patel
Raj Patel 2020-10-3
评论： Ameer Hamza 2020-10-4
I wanted to solve a numerical integral of the following equation:
fun = ((x.^4 .* exp(x))) ./ ((exp(x) - 1) .* (exp(x) - 1) );
The limits are from: 0 to Inf
Can anyone ehelp me here?
Thanks in advance.

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采纳的回答

Ameer Hamza
Ameer Hamza 2020-10-3
If you have symbolic toolbox
syms x
y = ((x.^4 .* exp(x))) ./ ((exp(x) - 1) .* (exp(x) - 1) );
I = int(y, x, 0, inf)
Result
>> I
I =
(4*pi^4)/15
>> double(I)
ans =
25.9758
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Raj Patel
Raj Patel 2020-10-4
Thanks Ameer. It helped me. Appreciate your efforts.

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更多回答（1 个）

Walter Roberson
Walter Roberson 2020-10-3
integral(fun,0,683)
  1 个评论
Ameer Hamza
Ameer Hamza 2020-10-3
An alternative by rearranging the terms
fun = @(x) (x.^4) ./ (exp(x).*(1 - 1./exp(x)).^2 );
integral(fun, 0, inf)

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