description to solve equation involved integration

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Tu Nguyen 2022-2-12

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https://ww2.mathworks.cn/matlabcentral/answers/1648470-description-to-solve-equation-involved-integration

评论： Rik 2022-2-15

采纳的回答： David Hill

Hi everyone, I have a question:

g(u) = inline('sqrt(2*pi*(delta)^2)*exp(-2*(pi^2)*(delta^2).*(u.^2))','u');

delta = [-1:0.001:1];

g(u) = 0.95;

integral g(u) with lower limit = -1/(2*x) and upper limit = 1/(2*x);

How can I express the integral(u) in Matlab to solve for x ;

Please help me

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Rik 2022-2-15

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Answer 1

David Hill 2022-2-12

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在 MATLAB Online 中打开

I am somewhat guessing this is what you want. Execution might take a few minutes. Reduce the delta array for faster execution.

syms x u
delta=-1:.001:1;
A=zeros(size(delta));
for k=1:length(delta)
 g = sqrt(2*pi*(delta(k))^2)*exp(-2*(pi^2)*(delta(k)^2)*(u^2));
 eqn=int(g,u,-1/(2*x),1/(2*x))==.95;
 A(k)=vpasolve(eqn,x);
end