- #1

Valis2k

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hi everybody, this is my first post, hope you can help me

check this proof for Green's theorem for a particular case:

http://en.wikipedia.org/wiki/Green's_theorem

rigth after equation (3) you have to calculate the integral

\int_{C_1} L(x,y)\, dx = \int_a^b \Big\{L[x,g_1(x)]\Big\}\, dx

but this is an integral of a function calculated on a curve, so there should be also

norm( C1' ) = sqrt( 1^2 + g'(x)^2 )

wikipedia's proof is rigth, I checked it on a book, so where am I wrong?

big thanks to all those who will answer!

check this proof for Green's theorem for a particular case:

http://en.wikipedia.org/wiki/Green's_theorem

rigth after equation (3) you have to calculate the integral

\int_{C_1} L(x,y)\, dx = \int_a^b \Big\{L[x,g_1(x)]\Big\}\, dx

but this is an integral of a function calculated on a curve, so there should be also

norm( C1' ) = sqrt( 1^2 + g'(x)^2 )

wikipedia's proof is rigth, I checked it on a book, so where am I wrong?

big thanks to all those who will answer!

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