Evaluate ∫∫_S F · ds, where

and S is the surface of the region E bounded by the parabolic cylinder z = 1 – x³ and the planes z = 0, y = 0, and y + z = 2. (See Figure 2.)

Figure 2

Transcribed Image Text:

F(x, y, z)=xy i+ (y² + e*²²)j + sin(xy) k