Yes , I agree with you and I have tried to keep this part in consideration 
. What I think that this proposal should achieve is that it should be able 
to perform vector integration on 3-dimension (maybe we can neglect higher 
dimension co-ordinates as sympy [as of now doesn't support more than 
3-dimension coordinates]) . I have looked into conditions of 
parametrization as :
1. single symbol 't' for parametric coordinates for line integrals.
2. symbols 't' and 's' for parametric coordinated for surface integrals.

On Tuesday, March 21, 2017 at 1:00:45 AM UTC+5:30, Arif Ahmed wrote:
>
> Maybe one of the important things in this project would be the 
> implementation of a parameterization algorithm : 
> http://ac.els-cdn.com/S0747717108801447/1-s2.0-S0747717108801447-main.pdf?_tid=62782f0c-0da3-11e7-8706-00000aacb360&acdnat=1490038284_68e1059b544113dca2f588d62087ca9d
>
> Once a certain curve has been parameterized then the existing integrate 
> functions can work on it. 
>
> On Tuesday, March 21, 2017 at 12:17:05 AM UTC+5:30, Mohit Chandra wrote:
>>
>>
>> Sir, I have started working on my proposal kindly have a look at that and 
>> please provide your reviews , thanks.
>> Link : 
>> https://github.com/sympy/sympy/wiki/GSoC-2017-Application-Mohit-Chandra:-Implementation-of-vector-integration
>>
>> On Tuesday, March 7, 2017 at 10:41:25 PM UTC+5:30, brombo wrote:
>>>
>>> You should look at -
>>>
>>> http://www.ime.unicamp.br/~marcio/ps2009/spivak 
>>> <http://www.google.com/url?q=http%3A%2F%2Fwww.ime.unicamp.br%2F~marcio%2Fps2009%2Fspivak&sa=D&sntz=1&usg=AFQjCNHI9PRRm8TE6xfxuF7UbB_nq5V-Og>
>>>
>>> which covers differential forms and the generalized Stokes theorem which 
>>> includes all the vector integration theorems.
>>>
>>> even more general is the fundamental (integration) theorem of geometric 
>>> calculus -
>>>
>>> https://arxiv.org/abs/math/9807024 
>>> <https://www.google.com/url?q=https%3A%2F%2Farxiv.org%2Fabs%2Fmath%2F9807024&sa=D&sntz=1&usg=AFQjCNHStEcmManolvDzI202CrsUXW8GAQ>
>>>
>>>
>>>
>>> On Tue, Mar 7, 2017 at 2:06 AM, Mohit Chandra <[email protected]> 
>>> wrote:
>>>
>>>> Hello , I'm Mohit Chandra , second year CS undergrad at IIIT Hyderabad 
>>>> . Actually, I went through the GSoC wiki and I'm interested in Vector 
>>>> Integration idea. It would be really nice if someone could guide me on 
>>>> this 
>>>> issue. Thanks.
>>>>
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>>>
>>>

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