Module 17 : Surfaces, Surface Area, Surface integrals, Divergence Theorem and applications
Lecture 50Surface Integrals [Section 50.1]
  Practice Exercises
(1)
Evaluate the surface integral

where is portion of the plane in the first octant

Answer
   
(2)
Evaluate
 

where is the portion of the cylinder in the first octant between the planes and .

  Answer
   
(3)
Evaluate
 

where is the portion of the cylinder cut by the planes and .

  Answer
10