Homework Help: Surface Integral

1. May 6, 2013

Baumer8993

1. The problem statement, all variables and given/known data
Evaluate ∫∫σ where S is a surface with sides S1, S2, and S3. S1 is a portion of the cylinder x2+y2 = 1 whose bottom S2 is the disk x2+y2 ≤ 1 and whose top S3 is the portion of the plane z = 1 + x that lies above S2.

2. Relevant equations
Surface integrals, and vector calculus.

3. The attempt at a solution
I am more stuck with starting this problem. Do I need to do two surface integrals, or something else? I am just completely lost on what to do here...

2. May 6, 2013

Dick

What are you integrating over the surface? You can do it by integrating over the three surfaces and adding them or you might replace the surface integral with a volume integral using the divergence theorem if you just need the total over all three surfaces. Just start doing something.

3. May 7, 2013

Baumer8993

I though I could only use the divergence theorem for flux?

4. May 7, 2013

Dick

Of course, if it's not a flux integral then you can't use the divergence theorem. That's why I was asking WHAT you are integrating.