Using Green's Theorem, the line integral $\int $C $y ^ { 2 } d x + x ^ { 2 } d y$ where C is the closed curve consisting of the arc of $y = x ^ { 2 }$ from (0, 0) to (1, 1), the line segment from (1, 1) to (1, 0), and the line segment from (1, 0) to (0, 0), is

A) $- \frac { 20 } { 3 }$
B) $\frac { 20 } { 3 }$
C) $- \frac { 3 } { 10 }$
D) $- \frac { 3 } { 20 }$
E) $\frac { 3 } { 16 }$

Question

Using Green's Theorem, the line integral

\int

C

y ^ { 2 } d x + x ^ { 2 } d y

where C is the closed curve consisting of the arc of

y = x ^ { 2 }

from (0, 0) to (1, 1) , the line segment from (1, 1) to (1, 0) , and the line segment from (1, 0) to (0, 0) , is

A) $- \frac { 20 } { 3 }$
B) $\frac { 20 } { 3 }$
C) $- \frac { 3 } { 10 }$
D) $- \frac { 3 } { 20 }$
E) $\frac { 3 } { 16 }$

Quizplus · Accepted Answer

The Answer of Using Green's Theorem, the line integral $\int $C $y ^ { 2 } d x + x ^ { 2 } d y$ where C is the closed curve consisting of the arc of $y = x ^ { 2 }$ from (0, 0) to (1, 1), the line segment from (1, 1) to (1, 0), and the line segment from (1, 0) to (0, 0), is

A) $- \frac { 20 } { 3 }$
B) $\frac { 20 } { 3 }$
C) $- \frac { 3 } { 10 }$
D) $- \frac { 3 } { 20 }$
E) $\frac { 3 } { 16 }$

Using Green's Theorem, the Line Integral ∫\int ∫ C y2dx+x2dyy ^ { 2 } d x + x ^ { 2 } d yy2dx+x2dy

Using Green's Theorem, the Line Integral $\int$ C $y ^ { 2 } d x + x ^ { 2 } d y$