multiple integrals (evaluate by reversing order of integ.)

[mathstresser]

Evaluate the integral by reversing the order of integration

S(0,1)S(y^(1/2),1) (x^3+1)^(1/2) dxdy

I then made it

S(0,1)S(y^(1/2),1) (x^3+1)^(1/2) dxdy

I get an answer of
S(y^(1/2),1) (x^3 + 1)^(1/2) dx

Is this right?