Using integral function for a function which is defined with an integral

I want to use the integral function in Matlab 2012a to integrate the function

phi = @(x) integral(@(t) exp(-t.^2./2),-inf,x);

but I get an error when the integrate function passes vector-valued x to

integral(@(t) exp(-t.^2./2),-inf,x);

I tried to define a function

 function out = innerIntegralMultiple(x)
   inner = @(t) exp(-t.^2./2);  
     if(isscalar(x)) 
       out = integral(inner,-inf,x);
     return;
   end

   out = zeros(length(x),1);

   for i=1:length(x)
     out = integral(inner,-inf,x(i)); 
   end
 end

and define phi as

phi = @(x) innerIntegralMultiple(x)

but I get errors about the number of arguments the function returns when I try this definition.

Is there a way to do what I want?

Answer 1

[Mike Hosea]

>> phi = @(r)arrayfun(@(x)integral(@(t)exp(-t.^2./2),-inf,x),r);
>> phi(-3:3)
ans =
  Columns 1 through 5
   0.003383692573953   0.057026123992892   0.397689745423351   1.253314137315500   2.108938529207654
  Columns 6 through 7
   2.449602150637674   2.503244582076109