- #1

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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?

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- Thread starter yifli
- Start date

- #1

- 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

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- 770

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]

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