Sorry i dont know how to add math equations.
For those who dont want to read the whole thing. I just cant figure out what sqrt(1-x^2)*sqrt(x^2-3) is. You can read further if you want full description of the problem.
I am new as you can tell. Anyway my problem. SO i was told to calculate the surface integral of x^2*z above the xy plane between y=0 and y=2 and the cylinder x^2+z^2=1.
So first i converted to: z = sqrt(1-x^2) we need not look at negative because it is only above xy plane.
To do surface integrals you use DBL INTEGRAL over R of f(x,y,z)*Sqrt(dz/dx+z/dy+1)
So dz/dx=-2x/(1-x^2)^(-1/2) dy/dx=0
so im left with dbl integral over R x^2)*(sqrt(1-x^2))*Sqrt(x^2-3)dA
ANd i am confused simply over how to multiply those 2 radicals. I want to pull my brain out.