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GREEN’S
THEOREM
PROBLEM
Theorem
0.1.
Let
R
1
be
the
region
in
R
2
bounded
by
the
curves
x
=
d, y
=
c, y
=
f
(
x
)
where
f
(
x
) =
y
is
the
same
curve
as
x
=
g
(
y
)
(i.e.
f
is
invertible
on
the
interval
of
interest)
and
f
(
x
)
> c
on
the
region
of
interest.
Prove
∂P
−
dxdy
=
Pdx.
R
1
∂y
∂R
1
1
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Unformatted text preview: 18.024 Multivariable Calculus with Theory Spring 2011 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms ....
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- Spring '11
- ChristineBreiner
- Calculus, Multivariable Calculus, Vector Calculus, MIT OpenCourseWare, Massachusetts Institute of Technology
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