Integration by Parts and Substitution: Solving Complex Integrals

Click For Summary
The discussion revolves around the confusion regarding the application of integration by parts and substitution in solving complex integrals. Participants highlight the absence of a clear value for z in the problem, questioning its necessity. It is noted that the integration by parts formula (uv - integral of vdu) is not explicitly used in the initial approach. The recommendation to explore tabular integration is made to clarify the process. Ultimately, the user plans to review additional examples in their textbook to better understand the combined use of substitution and integration by parts.
robertjford80
Messages
388
Reaction score
0

Homework Statement



Screenshot2012-05-19at80808PM.png



Homework Equations



uv - integral of vdu

The Attempt at a Solution



They don't seem to be using the integration by parts formula here. I don't understand why why they don't have a value for what z equals. dz = eu. well, what does z equal. I would think it would be the same thing. Next I don't anywhere where they're using the uv - integral of vdu formula. very bizarre.
 
Physics news on Phys.org
You're quite right for what z is. As for integration by parts, they are using it - I recommend looking up tabular integration.
 
actually, i relooked at the question and they said they want me to use substitution in combination with integration by parts, so I'm going to have to look at some of the other examples in the book and see if they have a worked example for this type of problem.
 

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?
View full post »

Similar threads

Can I Use Substitution to Prove the Residue Theorem Integral?
  • · Replies 5 ·
Replies
5
Views
1K
Substitution and Integration by Parts
  • · Replies 3 ·
Replies
3
Views
2K
Complex Integration Along Given Path
  • · Replies 3 ·
Replies
3
Views
2K
Integral of f(x): Get Answer Here
  • · Replies 13 ·
Replies
13
Views
2K
Integration by Parts 5x ln(4x)dx
  • · Replies 3 ·
Replies
3
Views
5K
Indefinite Integral with integration by parts
  • · Replies 2 ·
Replies
2
Views
2K
Repeating integration by parts
  • · Replies 3 ·
Replies
3
Views
6K
Algebraic Manipulation within Integration by Parts problem
  • · Replies 4 ·
Replies
4
Views
2K
Can the contour integral of z⁷ be simplified using a parameterized expression?
  • · Replies 1 ·
Replies
1
Views
1K
Integration by Parts Evaluate the integral
  • · Replies 5 ·
Replies
5
Views
7K