MATLAB: Looking for a function like integral2

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I know there is a function named integral2 but I could'nt fint it. will appreciate any help.. the function script or a function that works the same will do it

Best Answer

You are probably using an older version of MATLAB. The INTEGRAL2 function was added along with INTEGRAL and INTEGRAL3 in R2012a, according to the release notes.

You can either upgrade or use the similar quadrature functions: QUAD, QUAD2D.

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MATLAB: How to do integration

Please read help about functions MATLAB:

quad, quad2d, dblquad, quadgk, quadl, quadv, trapz, triplequad,int

MATLAB: Nested integral within integral2

The problem here is that integral2 requires that the integrand accept arrays as inputs and return arrays as outputs, but integral only accepts scalars for the left- and right-hand end points. You just need to vectorize the call to integral. Also, I assume you meant to use y in the second call to integral.

n = 12; % Increase to 50 when you're ready, but be prepared for a wait!
t = linspace(0,1,n);
fun_1 = @(v) exp(.071*v);
int_fun_1_scalar_inputs_only = @(x)integral(fun_1,0,x);
int_fun_1_vectorized = @(x)arrayfun(int_fun_1_scalar_inputs_only,x);
fun  = @(x,y) 0.14*0.00607*int_fun_1_vectorized(x).*exp(-(x-y).^2) ...
    .*0.14*0.00607.*int_fun_1_vectorized(y);
A = zeros(n); % Preallocate A
for i=2:n
    for j=i:n
        A(i,j)=integral2(fun,t(i-1),t(i),t(j-1),t(j));
    end
end

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MATLAB: How to do integration

MATLAB: Nested integral within integral2

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