- #1

yifli

- 70

- 0

I know [itex]\int_C Pdx+Qdy[/itex] is useful to calculate the work. When do we need the line integral with respect to arc length?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter yifli
- Start date

- #1

yifli

- 70

- 0

I know [itex]\int_C Pdx+Qdy[/itex] is useful to calculate the work. When do we need the line integral with respect to arc length?

- #2

- 9,568

- 774

I know [itex]\int_C Pdx+Qdy[/itex] is useful to calculate the work. When do we need the line integral with respect to arc length?

Suppose you have a wire with a density which varies along its length. You need an arc length type integral to evaluate its mass.

[tex]M =\int_C \delta(s)\,ds[/tex]

Share:

- Last Post

- Replies
- 5

- Views
- 393

- Last Post

- Replies
- 3

- Views
- 382

- Replies
- 1

- Views
- 372

- Last Post

- Replies
- 8

- Views
- 675

- Replies
- 38

- Views
- 1K

- Replies
- 14

- Views
- 1K

MHB
Tangent line

- Last Post

- Replies
- 1

- Views
- 448

- Last Post

- Replies
- 14

- Views
- 595

- Last Post

- Replies
- 2

- Views
- 459

- Replies
- 6

- Views
- 749