Contour Integral, Where am I going wrong?

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SUMMARY

The forum discussion centers on a problem from "Mathematical Methods in the Physical Sciences, 3rd ed." by Boas, where the user is struggling to find an algebraic mistake in their contour integral calculation. The expected answer is 2Pi/9. The user expresses frustration over repeated attempts to identify the error, indicating a need for assistance in resolving the issue. The discussion highlights the importance of clear problem presentation, as one participant suggests typing out the problem instead of relying on a blurry image.

PREREQUISITES
  • Understanding of contour integrals in complex analysis
  • Familiarity with algebraic manipulation techniques
  • Basic knowledge of mathematical methods as outlined in Boas' textbook
  • Ability to interpret mathematical problems from images or text
NEXT STEPS
  • Review the section on contour integrals in "Mathematical Methods in the Physical Sciences, 3rd ed." by Boas
  • Practice algebraic manipulation problems to enhance accuracy
  • Learn techniques for presenting mathematical problems clearly in forums
  • Explore online resources for complex analysis problem-solving strategies
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Students studying complex analysis, educators teaching mathematical methods, and anyone seeking to improve their problem-solving skills in contour integrals.

BigFlorida
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Misplaced in a math technical section before being moved by mentor
So, my book (Mathematical Methods in the Physical Sciences 3rd ed by Boas) proposed a problem that I have really been struggling with:
IMG_20160117_112504263_HDR.jpg
IMG_20160117_112510854_HDR.jpg


I know it is probably just an algebra mistake, but I have gone over it multiple times and cannot seem to find my mistake. Any ideas? The answer is supposed to be 2Pi/9.
Thank you in advance for any help.
 
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BigFlorida said:
So, my book (Mathematical Methods in the Physical Sciences 3rd ed by Boas) proposed a problem that I have really been struggling with:
View attachment 94420 View attachment 94421

I know it is probably just an algebra mistake, but I have gone over it multiple times and cannot seem to find my mistake. Any ideas? The answer is supposed to be 2Pi/9.
Thank you in advance for any help.

The image is too small and blurry to make out properly, so I will not even try. Why don't you do what others here do, and type it out?
 
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