y
x2 + y3 + xy5 + 1 = 0
x2 + ln y - 2x = 0
"
y
ln x2 + y2 =
x
x2 + 2xy - y2 = e.

"
y 3 + x dl L A(-2, 2), B(1, -1)
L

y2x2 dl L = {(x, y) " R2 : x2 + y2 = 4}
L

(x+y) dl L A(0, 0), B(1, 0), C(0, 1)
L

x2y dl L (0, 0)
L
r
m K
"
Á(x, y) = x,
K
y2 = x, y " [-1, 1].

(2x + 3y) dx + (y - 1) dy L = {(x, y) : x = t, y = t2, t " [0, 2]}
L
t

y ln(x - y) dx - 3y2 dy L (1, 0)
L
(-1, -2)

x
y dx - "
dy L
L x2 + y2
x2 + y2 = 1

x2
(3x2 - y) dx + x dy L + y2 = 1
4
L
y 0, (-2, 0) (2, 0).

(xy2 + e-x) dx + (x2y - e-x) dy L
L
D = {(x, y) " R2 : x2 - x y 5x - x2}

(x2 + y) dx + 4xy dy L
L
x2 + y2 = 2


"
(x2 - 1 + x2) dx + (x2y + 1 + y2) dy L
L
x2 + y2 - y = 0.

(3,-5)
(2x + y) dx + (x + 2y) dy
(-1,3)

(2,3)
(x + y) dx + (x - y) dy
(0,1)

(0,1)
2xy
dx + (2y + ln(1 + x2)) dy
(0,-1) 1 + x2

(1,2)
x y
dx + dy
(1,0) x2 + y2 x2 + y2
-

F (x, y) L
x
-

F (x, y) = [xy, x], L = {(x, y) : y = x3, x " [-1, 1]}.