How Does Integration Apply to DW/RDR in Calculus?

  • Context: Undergrad 
  • Thread starter Thread starter harpreet singh
  • Start date Start date
  • Tags Tags
    Integrating
Click For Summary

Discussion Overview

The discussion revolves around the integration of the expression dw/dr with respect to r, particularly in the context of a function w that depends on r. Participants explore the implications of this integration in relation to boundary conditions and differential equations.

Discussion Character

  • Exploratory, Technical explanation, Homework-related, Mathematical reasoning

Main Points Raised

  • Some participants seek clarification on how to integrate the expression dw/dr with respect to r.
  • One participant suggests that the integral can be expressed as ∫ (dw/dr) dr = w(r) + C, referencing the fundamental theorem of calculus.
  • Another participant indicates that they are attempting to use integration by parts, taking 1/r as the first function, but reports obtaining a result of zero.
  • There is a discussion about the necessity of knowing the specific form of w(r) to perform the integration effectively, as it will influence the outcome.
  • One participant mentions that they are calculating w(r) from a differential equation and need the integral to satisfy boundary conditions, indicating that w(r) is currently unknown.
  • Another participant emphasizes the importance of providing more information about w(r) to facilitate assistance.

Areas of Agreement / Disagreement

Participants generally agree that the specific form of w(r) is crucial for determining the integral, but there is no consensus on how to proceed without that information. Multiple viewpoints on integration techniques and their applicability are present.

Contextual Notes

Limitations include the lack of specific information about the function w(r), which is necessary for a complete understanding of the integration process. The discussion also reflects uncertainty regarding the application of integration techniques, such as integration by parts.

harpreet singh
Messages
40
Reaction score
0
Plz explain me how can i integrate dw/rdr
 
Physics news on Phys.org
please help me with this..
 
harpreet singh said:
Plz explain me how can i integrate dw/rdr
Could you perhaps explain you question further?
 
w is a function of r and i need to integrate dw/rdr with respect to r
 
harpreet singh said:
w is a function of r and i need to integrate dw/rdr with respect to r

you mean you want to find

[tex]\int \frac{1}{r} \frac{dw}{dr} dr[/tex]


?
 
Ya exactly..
 
I was trying it by using by parts.. By taking 1/r as the first function. But with that i m getting the answer zero..
 
harpreet singh said:
I was trying it by using by parts.. By taking 1/r as the first function. But with that i m getting the answer zero..

Do you happen to know what dw/dr is ?
 
w is a function of r here.. So it can be written as dw(r)/dr
 
  • #10
I'm sorry but this just seems silly. It's like asking, how do I do the integral [tex]\int{f(x)dx}[/tex]. The answer to this question will clearly depend on what f(x) is. Here, the answer to your question will depend on what kind of function w(r) is. So unless you give us more information, I don't think we can help you.
 
  • #11
Actually I am calculating the value of w(r) from a differential equation.. And in satisfying the boundary conditions I need to know that integral to calculate the valuues of constants. As of now w(r) is unknown.
 
  • #12
Then I suggest you post the question. We won't know how to help if we don't know exactly what the question is asking for.
 
  • #13
Going back to the original question, which I suspect is NOT the question you are really asking,

[tex]\int (dw/dr)dr= w(r)+ C[tex] where C is an arbitrary constant, by the fundamental theorem of calculus.[/tex][/tex]
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 49 ·
2
Replies
49
Views
8K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K