Circulation over a triangle in R^3

3 replies · 3K views · last reply
sriracha
Messages
28
Reaction score
0
I have attached a file with all needed information including the function and path of integration. My work seems right to me, but the correct answer is a^2. Will someone please take a look and show me where my misstep is.
 
Attachments
  • Handwritten derivation on lined paper of a line integral of F around a triangle path in R^3, with Stokes-style split into segments, substitutions, crossed-out terms, and a final result of a^3/3 + a^2/2.
    III-5.jpg
    51.5 KB · Views: 464

Discussion

Just to be sure, can someone confirm the file opens/ is legible?
 

Similar threads

Evaluate an integral over a triangle
  • JD_PM
  • · Replies 5 ·
  • Calculus and Beyond Homework Help
Replies
5
Greene's Theorem over a triangle
  • manenbu
  • · Replies 1 ·
  • Calculus and Beyond Homework Help
Replies
1
How Do You Integrate y^3 Over a Triangle with Given Vertices?
  • ineedhelpnow
  • · Replies 10 ·
  • Calculus
Replies
10
How to Divide the Region for a Double Integral over a Triangle?
  • teng125
  • · Replies 7 ·
  • Calculus and Beyond Homework Help
Replies
7
Undergrad How do I set up a surface integral over a triangle in 3D?
  • theneedtoknow
  • · Replies 8 ·
  • Calculus
Replies
8
Finding area of a non right angled triangle
  • Eobardrush
  • · Replies 9 ·
  • Precalculus Mathematics Homework Help
Replies
9
Vector calculus flux and circulation practice problems
  • thedc
  • · Replies 4 ·
  • Calculus and Beyond Homework Help
Replies
4
Word problem: Finding area of a growing triangle.
  • Lo.Lee.Ta.
  • · Replies 2 ·
  • Calculus and Beyond Homework Help
Replies
2
What's wrong with my similar triangle for a related rate question?
  • student34
  • · Replies 8 ·
  • Calculus and Beyond Homework Help
Replies
8
Surface Integral for Curl of Vector Field V over a Parametrized Triangle
  • theneedtoknow
  • · Replies 2 ·
  • Calculus and Beyond Homework Help
Replies
2