MA227
10/02/2015: 13.4
Section 13.4 Green’s Theorem
P939
#3. Evaluate the line integral by two methods:
(a) Directly and (b) Using Green’s Theorem.
I
xy dx + x2 y 3 dy,
C is the triangle with vertices (0, 0), (1, 0), and (1, 2)
C
Z
#8. Use Green’s Theorem to evaluate the line integral
xe−2x dx + (x4 + 2x2 y 2 ) dy,
C
along the given positively oriented curve C: the boundary of the region between the circles
x2 + y 2 = 1 and x2 + y 2 = 4
2
3