Numerical integration with a variable integration limit

Is there a way to implement the following:

f2=@(z) integral (@(x) f1(x,z) ,0 ,z);

P2=@(z) integral(f2,z,Inf);

With f2 and P2 as two separate anonymous functions? It seems z in f2 must be a scalar (not a vector), so a for loop is required to make multiple evaluations at z I can deal with that, but Matlab will not evaluate P2, giving the error: Error using integral (line 85) A and B must be floating-point scalars.

It appears that

P2Alt=@(z) integral2(@(x,z) f1(x,z), 0, z, z, Inf);

accomplishes the desired end result (z must be a scalar), but I would prefer the function f2, separate.

Answer 1

[Ujjal Dey]

At first, try with "int" command and form a final function of your desired variable. Ex: f2=@(x) int (f1(x,z),z);

[JohnM]

Hi Ujjal. I should have mentioned in my post that I don't have the symbolic math toolbox, so invoking int is not an option for me.

Answer 2

[JohnM]

After giving this some thought, the following appears to be one way to solve the problem:

f2=@(z) integral(@(x) f1(x,z), 0, z);

f2Vect=@(z) arrayfun(@(z)f2(z),z); %vectorize f2

zval=0:0.1:3;

P2=zeros(1,length(zval)); %Preallocate

for i=1:length(zval)

 P2(i)=integral(f2Vect,zval(i),Inf); %Evaluate the integral of f2

end