How to 3D plot a 2 parameter function that includes a definitive integral, using Wolfram Alpha?

I'm trying to plot the following function using Wolfram Alpha:

I have used the following natural language query:

plot (x^2 − ( Integrate sqrt(1 − t) ) , for x from 0 to 5, for y from -4 to 1)

I'm struggling to add in the boundaries for the definitive integral.

What's the correct query?

I've tried several different ways and can't yet get WA to do it in one step.

But I can get it to do it in two steps.

First

x^2-Integrate sqrt(1-t),{t,0,y}

returns

x^2+2/3((1-y)^(3/2)-1) for Re(y)<=1 or y not element R

and your range for y satisfies that condition

Next

plot x^2+2/3((1-y)^(3/2)-1),{x,0,5},{y,-4,1}

and it appears you are done