how to use the clue that f(x,y)=-f(x,y)

http://i56.tinypic.com/1zpsmm8.jpg

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- May 24th 2011, 04:24 PMtransgalacticunsolvable in a normal way integral mmn 15 5
how to use the clue that f(x,y)=-f(x,y)

http://i56.tinypic.com/1zpsmm8.jpg - May 24th 2011, 11:42 PMFernandoRevilla
Express

where

- May 25th 2011, 03:11 AMtransgalactic
- May 25th 2011, 03:18 AMFernandoRevilla
- May 25th 2011, 08:30 AMtransgalactic
i dont know how to continue with what you hve said

dont know how to write R1 and R2 integrals - May 25th 2011, 08:58 AMFernandoRevilla
Using the substitution the corresponding Jacobian is so,

- May 25th 2011, 10:11 AMtransgalactic
i cant understand this expression

i know for example that:

means the partial derivetive of "f" by x

but here the is no clear structure of what is the function

and by what variable we derive it by - May 25th 2011, 10:13 AMTheEmptySet
This is the Jacobian matrix

Jacobian matrix and determinant - Wikipedia, the free encyclopedia - May 25th 2011, 10:33 AMtransgalactic
i saw the link and i know what is jacobian

but this is not a determinant

its a fracture of some undefined stuff

and in the link i didnt see it - May 25th 2011, 02:42 PMtransgalactic
how this determinant of what functions??

- May 25th 2011, 05:01 PMFernandoRevilla
- May 25th 2011, 10:36 PMtransgalactic
what this

means

what function what determinants

? - May 26th 2011, 12:25 AMFernandoRevilla
- May 27th 2011, 12:33 PMtransgalactic
- May 28th 2011, 12:51 AMFernandoRevilla

The domain is symmetric with respect to .

Quote:

and in the end why you go back to x y coordinates withoud multiplying by the yacobian

Try to find the Jacobian of .

Quote:

and you didnt use the riven R its between y^2=x and x^2=y

If you mean the__given__, yes I did : .