What is the purpose of dx in an integral?

  • Thread starter Thread starter ludi_srbin
  • Start date Start date
  • Tags Tags
    Integrals
Click For Summary
The discussion clarifies the purpose of "dx" in an integral, indicating that it denotes the variable of integration. For example, in the integral ∫xdx, "dx" specifies that the integration is with respect to the variable x. Participants also inquire about how to write integrals on the forum, with guidance provided on using LaTeX for formatting. The conversation emphasizes the importance of proper notation in mathematical expressions. Overall, understanding "dx" is crucial for correctly interpreting integrals.
ludi_srbin
Messages
137
Reaction score
0
Hmmmmmm...Well I guess my first question is how do I write the integral...Do I have to have some sort of program or...?

Anyway, let's say I have some kind of simple integral and there is dx in front of it. What is that dx there for.
 
Physics news on Phys.org
Do you mean how to you notate it? The "dx" refers to the variable of integration. If you were in terms of y, you would write "dy".

An example: \int xdx This is in terms of the variable x, so we notate that by writing dx.
 
O thanks. :smile:
 
If you are asking about how to put such equations on this forum, double click on any equation you are interested in and a window will open showing the Latex code.

Double click on:
\int xdx

For more information on Latex, see the "sticky" in the "General Physics" thread.
 
O yeah :smile: . I forgot about that. Thanks man. I aprrecaite it.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 3 ·
Replies
3
Views
843
  • · Replies 22 ·
Replies
22
Views
1K
  • · Replies 16 ·
Replies
16
Views
1K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
28
Views
2K
Replies
1
Views
2K
  • · Replies 23 ·
Replies
23
Views
2K