(922, #17) Use Green's theorem to evaluate the line integral
,
where
and
consists of the circle
from
to
and the line segments from
to
and from
to
Solution: This is our curve:
By Green's Theorem:
by C.A.H.
By Green's Theorem:
,
and
consists of the circle
from
and the line segments from
to
and from
to
By Green's Theorem:
