minimize integral function for a parameter

hello everybody!I'd like to find the value of parameter 'k' that minimizes the integral function F=integral((asin(k*sin(x))-0.7*x)^2) in the interval [-pi/4,+pi/4]. how to do? thanks

Answer 1

[jgg]

I think you can do something like this. Make a file with your integral that takes in k:

 function [ F ] = int_fun(k)

 fun = @(x)((asin(k*sin(x))-0.7*x).^2);
 F=integral(fun,-pi/4,pi/4);
 end

Then in your script run:

 func = @(k)int_fun(k);
 fminunc(func,0);

If you know a better starting point than zero or have constraints on k you can include them at this point.