description to solve equation involved integration

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

[Rik]

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Answer 1

[David Hill]

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

[Tu Nguyen]

Thank you so much