The doctor ordered 800,000 units of a particular drug for a patient. The drug comes in a solution of 2,000,000 units per 10 cc.
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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