Is Integration by Parts Applicable for X^3/((e^x)-1) from -infinity to infinity?

  • Thread starter silvermane
  • Start date
  • Tags
    Integrating
In summary, the conversation is discussing the integration of X^3/((e^x)-1) from -infinity to infinity. The person suggests using integration by parts or a table to solve it, but others question if the limits are correct and if the integral converges at -infinity. The idea of changing the limits to 0 to infinity with a coefficient of 2 is suggested, but it is pointed out that it only works for even functions, which this is not.
  • #1
silvermane
Gold Member
117
0

Homework Statement


Integrating X^3/((e^x)-1), where we integrate from -infinity to infinity

The Attempt at a Solution


We thought about it, and we're not entirely sure if integration by parts is applicable here. Is there a table with this function perhaps?
 
Physics news on Phys.org
  • #2


That integral doesn't converge as x->(-infinity), does it? The denominator is near 1 and the numerator is near x^3. Are you sure about the limits?
 
  • #3


it doesn't matter if it converges at -infinity you can just make the upper and lower bounds 0 to infinity and put a coefficient of 2 in front of the integrand
 
  • #4


SgtSniper90 said:
it doesn't matter if it converges at -infinity you can just make the upper and lower bounds 0 to infinity and put a coefficient of 2 in front of the integrand

That only works if it's an even function, which this isn't.
 

FAQ: Is Integration by Parts Applicable for X^3/((e^x)-1) from -infinity to infinity?

What is the definition of "Problem with Integrating"?

The problem with integrating refers to difficulties or challenges that arise when trying to combine or merge different elements or systems together.

What are the common causes of problems with integrating?

Some common causes of problems with integrating include incompatible systems, lack of communication between teams, and inadequate planning or preparation.

How can I identify potential problems with integrating?

To identify potential problems with integrating, it is important to thoroughly assess and understand the systems or elements that need to be integrated, as well as any potential conflicts or challenges that may arise.

What strategies can be used to overcome problems with integrating?

Some strategies that can be used to overcome problems with integrating include effective communication and collaboration between teams, thorough planning and testing, and the use of specialized tools or technologies.

How can I prevent problems with integrating in the future?

To prevent problems with integrating in the future, it is important to have a clear understanding of the systems or elements that need to be integrated, effective communication and collaboration between teams, and a thorough planning and preparation process.

Similar threads

Solve ##\int\frac{e^{-x}}{x^2}dx## and ##\int \frac{e^{-x}}{x}dx##
Replies
7
Views
1K
Fourier transform of integral e^-a|x|
Replies
6
Views
2K
Finding convergence of this series using Integral/Comparison
Replies
2
Views
1K
Integral of e^cosx: Answers Sought
Replies
11
Views
2K
Solve Integral Equation: xe-axcos(x)dx from 0 to ∞
Replies
13
Views
2K
Limit of (-x^(k+1))/e^x: Solving Step by Step with l'Hopital's Rule
Replies
5
Views
2K
How can I find the limit of the integral?
Replies
3
Views
1K
Volume of Static Solid Using Cross-Sectional Area (Integration)
Replies
2
Views
772
Finding the Fourier cosine series for ##f(x)=x^2##
Replies
4
Views
1K
Determine the mean square error of a simple distribution
Replies
4
Views
877

Hot Threads

Recent Insights

Back
Top