closed contour integral complex

I have a problem .. how can I find the value of complex contour integral : example ∮z/((z^2+4)(z-1)) dz around z-2=2 (center of circle is 2 and radius equal 2)

I answer it by using matlab but it give me error ...

this is my answer :

>> fun=@(z) (z)./((z.^2+4)*(z-1));

>> g=@(theta) (2+2*cos(theta))+2i*sin(theta);

>> gprime=@(theta)-2*sin(theta)+2i*cos(theta);

>> q1=quad(@(t) fun(g(t)).*gprime(t),0,2*pi)

??? Error using ==> mtimes

Inner matrix dimensions must agree.

Error in ==> @(z)(z)./((z.^2+4)*(z-1))

Error in ==> @(t)fun(g(t)).*gprime(t)

Error in ==> quad at 77

y = f(x, varargin{:});

Answer 1

[Roger Stafford]

You need a 'dot' in the definition of 'fun':

   fun=@(z) (z)./((z.^2+4).*(z-1));

The message "Error using ==> mtimes" is the clue to that difficulty.

[adrian zizo]

thank u very much

[Shariefa Shaik]

please explain the code