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December 26th, 2009, 10:33 AM  #1 
Member Joined: Jun 2009 Posts: 83 Thanks: 1  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. 
December 26th, 2009, 04:16 PM  #2 
Senior Member Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3  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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curve, expression, integral, simplification 
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