Parabolic Cylinder line integral

[christopnz]

1.Homework Statement

(Parabolic Cylinder) find the area of the surface extending upward form x^2 + y^2 =1 to z = 1 - x^2 using line integral

2.

Could some one please outline the method to solving this. I tryed using spherical corridinates but am unsure if this was correcect

The Attempt at a Solution

 

[HallsofIvy]

Surely, since this is a cylinder, cylindrical coordinates would be better? That is, use polar coordinates for two coordinates, z for the third. $x= r cos(\theta)$, $y= r sin(\theta)$ so you will be integrating $z= 1- x^2= 1- r^2 cos^2(\theta)$ over the unit circle.

 

[christopnz]

ty that helped alot