Calculating Flux Across a Portion of a Surface in the First Octant

[robierob]

Find the flux of the field F=(-2x,3y,Z) across the surface S where S is the portion of y=(e^x) in the first octant that projects parallel to x-axis onto the rectangle with 1 <= y <= 2 and 0<= z <= 3. Define the unit normal vector n to point away from the yz-plane.

Im not exactly sure about what formula to use for this one...

Rob

 

[berkeman]

Sounds like you want to integrate the dot product of that vector field with the unit normal across the surface, right? What would the general equation be? And have you sketched what the surface and its boundaries look like?