• Support PF! Buy your school textbooks, materials and every day products Here!

Evaluating path along a circle

  • Thread starter xmflea
  • Start date
  • #1
44
0
Evaluate the line integral of f(x,y) = x+2y along C, where C is the path counterclockwise around the upper half of the unit circle


Attempt:
parametric r(t)= cos(t)i + sin(t)j 0<t<pi ds=root(1)dt

integrate from 0 to pi the function cost + 2sint, and i get -2.

correct answer is 4. i think im writing the parametric wrong or something. help?
 

Answers and Replies

  • #2
79
0
Your formula is correct. However, notice that it is counter clockwise
Think about your order of integration, where do you start and where do you end?

Now with that in mind, you should get 4.
(and actually I think you make some calculation mistakes, because the way you did it, you should get -4 instead of -2. Check your calculation.)
 

Related Threads for: Evaluating path along a circle

  • Last Post
Replies
4
Views
737
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
2
Views
869
  • Last Post
Replies
2
Views
1K
Replies
8
Views
668
Replies
3
Views
647
Top