Use Cauchy Residue Theorem to find the integral

  • Thread starter DanniHuang
  • Start date
  • #1

Homework Statement



To find the integral by Cauchy Residue Theorem and apply substitution method.

Homework Equations



To show: ∫[itex]^{2∏}_{0}[/itex][itex]\frac{cosθ}{13+12cosθ}[/itex]=-[itex]\frac{4∏}{15}[/itex]

The Attempt at a Solution


The solution I have done is attached. It is different as what the question wants me to show. I do not know where I did it wrong.
 

Attachments

  • IMG_7273.jpg
    IMG_7273.jpg
    45.3 KB · Views: 645
  • IMG_7275.jpg
    IMG_7275.jpg
    23.9 KB · Views: 193

Answers and Replies

  • #2
938
9
Otherwise it looks fine to me, except that
[tex] 6z^3+13z^2+6z = 6 z(z+2/3)(z+3/2) \neq z(z+2/3)(z+3/2) [/tex]
 

Related Threads on Use Cauchy Residue Theorem to find the integral

Replies
1
Views
2K
Replies
2
Views
2K
Replies
6
Views
2K
Replies
3
Views
727
  • Last Post
Replies
12
Views
5K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
1
Views
635
Top