Are you using x = 1 and 4 for your limits of integration?
If you are submit your work to see where the problem might be--your integrand is correct
why are you integrating between y= 1 and y= 4? If you draw a graph you will see that parabola extends down to y= 0. I suggest you do this as two parts: integrate what you have from y= 1 to y= 4 then set up a different integral for the part from y= 0 to y= 1.