Computing an specific numerical Integral
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Hi,
Can anyone help me in computing the following integral?
Thanks
采纳的回答
David Hill
2020-2-8
You could just expand the sumations since there are only 5.
fun=@(x)(.5*(1-x).^4+6*x.*(1-x).^3+4.5*x.^2.*(1-x).^2+4*x.^3.*(1-x)+.5*x.^4).*log(.5*(1-x).^4+6*x.*(1-x).^3+4.5*x.^2.*(1-x).^2+4*x.^3.*(1-x)+.5*x.^4);
y=integral(fun,0,1);
3 个评论
Coo Boo
2020-2-8
David Hill
2020-2-8
You could play with somethng like this.
w=[.1 .3 .3 .2 .1];%size w will have to increase with n
fun=@(x,n)sum(reshape(cell2mat(arrayfun(@(y)w(y)*factorial(n)/factorial(y-1)/factorial(n-y).*x.^(y-1).*(1-x).^(n-y),1:n,'UniformOutput',false)),length(x),[]),2);
z=integral(@(x)fun(x,5).*log(fun(x,5)),0,1,'ArrayValued',true);%n=5
更多回答（1 个）
Stijn Haenen
2020-2-8
0 个投票
I think you should use a Riemann integral to estimate the answer of this integral.
Or maybe wolfram Mathematica can solve it for you.
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