MATLAB: Numerical integration while keeping the parameters

integrationnumericalparametersplotting

I have a function which is like f(a,b,x). I want to numerically integrate it with respect to x, for example using quad function and plot the result of integration with respect to parameters a and b. Can someone share how can I achieve this?

Best Answer

Or, if it's actually a function of x with two parameters, and integrated over a fixed interval, then a variation of Andrew's answer will do it

f = @(x,a,b) sin(a*x+b);
x1 = 0;
x2 = pi;
[a,b] = meshgrid(-1:0.1:1);
z = zeros(size(a));
for k = 1:numel(a)
  g = @(x) f(x,a(k),b(k)); 
  z(k) = quad(g,x1,x2);
end
surf(a,b,z)

Related Solutions

MATLAB: Can I use integral with symbolic/variable interval values

Assuming that f is a function handle already, such as

f = @(s) tan(s^2 + exp(-s));

then

f_new = @(x) integral(f, 0, x);
final_function = @(b) integral( @(x) f_new(x) .* g(x), 0, b);

and

final_function(2)

MATLAB: For α=0.2, β=0.5 >>> z= 27.5, for α=0.5, β=0.8 >>> z=17.0 , for α=0.2, β=0.8 >>>z=18.6,i want to get 3-D plot between α,β and Z without writting equation for Z.

a = [0.2 0.5 0.2] ;
b = [0.5 0.8 0.8] ;
z = [27.5 17. 18.6] ;
[A,B] = meshgrid(a,b) ;
F = scatteredInterpolant(a',b',z') ;
Z = F(A,B) ;
surf(A,B,Z)

Best Answer

Related Solutions

MATLAB: Can I use integral with symbolic/variable interval values

MATLAB: For α=0.2, β=0.5 >>> z= 27.5, for α=0.5, β=0.8 >>> z=17.0 , for α=0.2, β=0.8 >>>z=18.6,i want to get 3-D plot between α,β and Z without writting equation for Z.

Related Question