Double integral where the limit of y is a function of x

I am trying to work out double integral, where the limit of y is a function of x, and the limits itself are vectors, like

n=1:10;
t=2;
a=(n-1).*t;
b=n.*t;
fun=@(x,y)lognpdf(b-x,2,1).*lognpdf(y,3,2);  
ymax=@(x) b-x;  
Qab=@(a,b)integral2(fun,a,b,0,ymax);  
Q=arrayfun(Qab,a,b);

but this returns error

Error using  - 
      Matrix dimensions must agree.
      Error in @(x)b-x

Is this because b is a vector?

[Walter Roberson]

Perhaps you should use the ArrayValued option of integral2() ?

Answer 1

[Andrei Bobrov]

EDIT

n=1:10;
t=2;
a=(n-1).*t;
b=n.*t;

[ai,y] = ndgrid(a,b);
bi = y.';
f = @(x,y,y2)logpdf(y2-x,2,1).*logpdf(y,3,2);
out = arrayfun(@(x1,y1,y2)integral2(@(x,y)f(x,y,y2),x1,y1,0,@(x)y2-x),ai,bi,y);

[Andrei Bobrov]

corrected