How Do You Calculate a 3D Line Integral Along Multiple Paths?

extreme2000
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Dear Users
Please help me in starting this problem I have tried my best but all in vain
Calculate line integral v=X^2{x(Cap)}+2yz{y(Cap)}+y^2{z(Cap)} from origion to point
(1,1,1) by three different routes
(a) (0,0,0)→(1,0,0)→(1,1,0)→(1,1,1)
Now there are three parts in this problem.I want help in what will I consider the limit in 3D case because in example of the line integral of the book (Introducation to Electrodynamics by Griffiths) there is 2D example solved so I want a little help about this part I will do the other 2 parts myself but need help in first part
Thanks
 
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Does v look like -
v\,=\,x^2\,\hat{x}+2yz\,\hat{y}+y^2\,\hat{z}?
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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