Prove that integral curvilinear:

is dependent on the path

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- Apr 26th 2009, 06:47 AMApprentice123Integral curvilinearProve that integral curvilinear:

is dependent on the path

- Apr 26th 2009, 08:55 AMcurvature
- Apr 26th 2009, 11:37 AMJhevon
The line integral for conservative vector fields are independent of path. Note that we can describe the vector field here as . show that this vector field is conservative, that is, find a function such that . that will show independents of path.

it is not enough to pick two random paths and show the line integral is the same. - Apr 26th 2009, 11:40 AMCalculus26
Remember if Curl F = 0 if and only if the line integral is independent of path

There are several equivalent statemnts

1Curl F = 0 (Fis irrotational

2.F= gradf

3.The line Integral is independent of path

4.F is conservative - Apr 26th 2009, 11:51 AMApprentice123
is different of , not is conservative, then depends the path

- Apr 26th 2009, 11:51 AMJhevon
- Apr 26th 2009, 11:55 AMJhevon
- Apr 26th 2009, 12:01 PMApprentice123What is curl ?

Is Rotational ?

- Apr 26th 2009, 12:03 PMCalculus26
You may have learned it as rotation

Del x F - Apr 26th 2009, 12:04 PMJhevon
- Apr 26th 2009, 12:07 PMApprentice123I learned how rotational

Thanks, yours are helping me a lot