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

A) $- \frac { 1 } { 5 }$
B) $\frac { 2 } { 5 }$
C) $\frac { 3 } { 5 }$
D) $\frac { 4 } { 5 }$
E) $\frac { 6 } { 5 }$

Question

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

A) $- \frac { 1 } { 5 }$
B) $\frac { 2 } { 5 }$
C) $\frac { 3 } { 5 }$
D) $\frac { 4 } { 5 }$
E) $\frac { 6 } { 5 }$

Quizplus · Accepted Answer

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

A) $- \frac { 1 } { 5 }$
B) $\frac { 2 } { 5 }$
C) $\frac { 3 } { 5 }$
D) $\frac { 4 } { 5 }$
E) $\frac { 6 } { 5 }$

Using Green's Theorem, the Line Integral ∫\int ∫ C (−x2+x)dy\left( - x ^ { 2 } + x \right) d y(−x2+x)dy

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