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December 26th, 2009, 09:33 AM   #1
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Curve integral - expression simplification

Hi,
during my computations on some curve integral I ened with this integral:



Can someone please try to simplify this formula? What I think may help (but I failed) can be: polar coordinates substitution, per partes, add and subtract some expression to the nominator, nominator looks similar to the derivation of the division (x' / y')' ...

Thank you for any ideas.

After a while I have used substitution z = (y' / x') and got:

but now I am still stucked.
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December 26th, 2009, 03:16 PM   #2
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Re: Curve integral - expression simplification

Change of variables: z' = dz/dt, so you can cancel dt and replace t1 and t2 with z(t1) and z(t2)
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