Line Integral of a complex function

  • Thread starter mateomy
  • Start date
  • #1
307
0
I'm trying to solve this integral as x-> Infinity
[tex]
\int \frac{dz}{8i + z^2}
[/tex]

...on the y=x line, but I have no idea what I'm doing. The book I'm using is less than helpful in this regard. I'm not supposed to use any complex analysis tools (Cauchy, etc), but just solve it as a line integral. I'm not looking for an easy answer I would rather receive a hint. I've thought about expanding the function of [itex]z^2[/itex] and after doing so I'm still at a loss. Any advice would be great, thanks.
 

Answers and Replies

  • #2
1,796
53
I'm trying to solve this integral as x-> Infinity
[tex]
\int \frac{dz}{8i + z^2}
[/tex]

...on the y=x line, but I have no idea what I'm doing. The book I'm using is less than helpful in this regard. I'm not supposed to use any complex analysis tools (Cauchy, etc), but just solve it as a line integral. I'm not looking for an easy answer I would rather receive a hint. I've thought about expanding the function of [itex]z^2[/itex] and after doing so I'm still at a loss. Any advice would be great, thanks.

You can parameterize the line y=x. Isn't that just [itex]z=re^{\pi i/4}[/itex]. Ok, turn the crank now.
 

Related Threads on Line Integral of a complex function

  • Last Post
Replies
23
Views
437
  • Last Post
Replies
2
Views
1K
Replies
2
Views
1K
  • Last Post
Replies
16
Views
783
  • Last Post
Replies
3
Views
6K
Replies
4
Views
8K
  • Last Post
Replies
4
Views
3K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
13
Views
2K
Replies
1
Views
1K
Top