A college administrator knows that 70% of the students at her college are from out of state, so she decides to make sure that sh
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The intersection can be parameterized by
with
.
By Stoke's theorem, the integral of
along 
is equivalent to
where
is the region bounded by . The line integral reduces to
with
By Stoke's theorem, the integral of
where
But this isn't true... If 
, you have
but of course
.
but of course