Mrs. Johnson ordered 4 exotic plants for her yard for $62.95 each. She is getting them all delivered to her house on Wednesday.
2 answers:
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I assume each path is oriented positively/counterclockwise.
(a) Parameterize by
with . Then the line element is
and the integral reduces to
The integrand is symmetric about , so
Substitute and
. Then we get
(b) Parameterize by
with . Then
and
Integrate by parts with
(c) Parameterize by
with . Then
and