Problem with undefined variable in integral
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Hi, I try to solve this integral:
where the functions in lambda are defined in the code. I try want to compute this integral for several values of a like 18,19, and so on. I first tried with a=18 then i compute (without success) pi(18). Here is my code:
if true
cms = @(s) exp(1.39-0.065*s);
cfu = @(u) exp(0.83-0.071*u);
Ifu = @(u) exp(-0.970774-0.077159*u);
sdu = @(u) (-0.67+0.133*u);
mu = @(u) (u-4)/0.8;
pm = @(u,s) (1/sqrt(2*pi*(sdu(u)^2)))*exp(-(1/2*sdu(u)^2)*(s-mu(u))^2);
lambdas = @(s) cms(s)*integral((cfu(u)*Ifu(u)*@(u)pm(u,s)),18,65);
%%%%
cmu = @(u) exp(1.39-0.065*u);
cfr = @(r) exp(0.83-0.071*r);
Ifr = @(r) exp(-0.970774-0.077159*r);
sdr = @(r) (-0.67+0.133*r);
mr= @(r) (r-4)/0.8;
%%%%
pm = @(r,u) (1/sqrt(2*pi*(sdr(r))^2))*exp(-(1/2*sdr(r)^2)*(u-mr(r))^2);
lambdau = @(u) cmu(u)*integral((cfr(r)*Ifr(r)*@(r)pm(r,u)),18,65);
%Try to compute pi for a=20 pi(20)
integral(exp(20-s)*lambdas(s)*exp(-integral(lambdau(u),18,s)),18,20) ;
end
I always get this error : Undefined function or variable 's'.
Any suggestion to correct it? Sorry but I'm quite new to matlab.. maybe I'm doing a really silly mistake.
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回答(1 个)
Walter Roberson
2016-1-28
integral( @(s) exp(20-s)*lambdas(s)*exp(-integral(@(u) lambdau(u),18,s)),18,20) ;
另请参阅
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