Am having trouble with line integrals and can't manage to get the following problem correct;

Where S is the part of the plane 2x + y + 3z = 6 for x=>0, y=>0, z=>0

I know that ;

And worked out the magnitude of the normal to be (14)^1/2, but i'm not sure if i'm parametrizing the plane correctly and i'm not sure of my limits of integration.

Any help would be greatly appreciated.

Cheers.