I am having trouble doing integration for the following code.

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Md. Golam Zakaria
回答： Walter Roberson 2022-2-1
I am having the following warning.
Warning: Infinite or Not-a-Number value encountered.
> In integralCalc/iterateScalarValued (line 349)
In integralCalc/vadapt (line 132)
In integralCalc (line 83)
In integral (line 88)
In Q2 (line 17)
clc
clear all
Fs= 2.16*10^-5*pi; % Geometrical Factor
h= 6.626*10^-34; % Plancks Constant
c= 3*10^8; % Speed of light
K = 1.38*10^-23; % Boltzmanns Constant
Ts=5760; % Temparature of the sun
E=0:0.5:4;
bs=((2*Fs)/((h^3)*(c^2))).*(E.^2./(exp(E./((K*Ts)-1))));
fun= @(E)(E.*((2*Fs)/((h^3)*(c^2))).*(E.^2./(exp(E./((K*Ts)-1)))));
Ps = integral (fun,0,Inf) ;
figure(2)
plot(E,Ps)

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采纳的回答

Star Strider
Star Strider 2022-2-1
Ran in:
The warning is likely the result of the second term, that becomes Inf at higher values.
Fs= 2.16*10^-5*pi; % Geometrical Factor
h= 6.626*10^-34; % Plancks Constant
c= 3*10^8; % Speed of light
K = 1.38*10^-23; % Boltzmanns Constant
Ts=5760; % Temparature of the sun
fun= @(E)(E.*((2*Fs)/((h^3)*(c^2))).*(E.^2./(exp(E./((K*Ts)-1)))));
Result1 = fun(0)
Result1 = 0
Result2 = fun(realmax)
Result2 = Inf
Check = @(E) E.^2/exp(E./((K*Ts)-1))
Check = function_handle with value:
@(E)E.^2/exp(E./((K*Ts)-1))
Check(realmax)
ans = Inf
I am not certain that there is any solution for that, other than restricting the upper integration limit to something smaller.
.

更多回答（1 个）

Walter Roberson
Walter Roberson 2022-2-1
Ran in:
Q = @(v) sym(v);
Fs = Q(2.16)*Q(10^-5)*Q(pi) % Geometrical Factor
Fs = 
h = Q(6.626)*Q(10^-34) % Plancks Constant
h = 
c = Q(3)*Q(10^8) % Speed of light
c = 
300000000
K = Q(1.38)*Q(10^-23) % Boltzmanns Constant
K = 
Ts = Q(5760) % Temparature of the sun
Ts = 
5760
E = Q(0):Q(0.5):Q(4);
bs = ((2*Fs)/((h^3)*(c^2))).*(E.^2./(exp(E./((K*Ts)-1))));
fun = @(E)(E.*((2*Fs)/((h^3)*(c^2))).*(E.^2./(exp(E./((K*Ts)-1)))));
syms x b real
assume(b >= 0)
Ps = int(fun(x), x, 0, b)
Ps = 
limit(Ps, b, inf)
ans = 
∞

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