How can I integrate (x^2)(e^x)Sinx dx efficiently?

  • Thread starter Thread starter Yegor
  • Start date Start date
  • Tags Tags
    Integration
Click For Summary

Homework Help Overview

The problem involves integrating the function (x^2)(e^x)Sinx with respect to x. The discussion centers around integration techniques, particularly integration by parts.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss various methods for integration, with one suggesting integration by parts as a primary approach. There is mention of the number of integrations required and the complexity involved.

Discussion Status

The discussion reflects a range of perspectives on the integration process, with some participants expressing frustration over the length of the method required. There is no explicit consensus on a single approach, but multiple techniques are being considered.

Contextual Notes

Participants note the expectation of encountering multiple integrations and express a desire for a more efficient method, indicating a potential constraint in their approach to the problem.

Yegor
Messages
147
Reaction score
2
I have no idea. How to integrate
(x^2)(e^x)Sinx dx ?
 
Physics news on Phys.org
It's fairly simple, I can think of a couple of ways to do it off the top of my head but I would suggest using by-parts and differentiating x^2 out as the most obvious.
 
There are 4 partial integrations that need to be done in all...They're not difficult,but anyway,if you ran into trouble,please complain.

Daniel.
 
I have ran through it. I just expected that i don't see shorter way. I didn't wanted to have such a practise in partial intregration. There really are 4 several integrations (some of them many times). thank You all!
 

Similar threads

Finding the shape of a hanging rope
  • · Replies 3 ·
Replies
3
Views
1K
Electric field of a finite linear distribution of charge
  • · Replies 18 ·
Replies
18
Views
2K
Is the Result of the Path Integral Positive Due to Negative dx?
  • · Replies 10 ·
Replies
10
Views
2K
Energy analysis of the system (leaking bucket from Morin's "Mechanics"
  • · Replies 5 ·
Replies
5
Views
1K
Tension Force Problem (applying Work-Kinetic Energy Theorem)
  • · Replies 16 ·
Replies
16
Views
2K
Integrate [cosec(30°+x)-cosec(60°+x)] dx in terms of tan x
  • · Replies 3 ·
Replies
3
Views
2K
Help me solve this integral for the equation of motion
  • · Replies 19 ·
Replies
19
Views
2K
Integration of velocity to get displacement
  • · Replies 1 ·
Replies
1
Views
2K
Work done by gravity on a hanging chain?
  • · Replies 22 ·
Replies
22
Views
2K
Integrating electric field of rod
  • · Replies 25 ·
Replies
25
Views
3K