The line integral $\int $C $\left( x ^ { 2 } + x y \right) d x + \left( y ^ { 2 } - x y \right) d y$ , where C is the line $y = x$ from (0,0) to (2,2), is

A) $\frac { 32 } { 3 }$
B) $\frac { 28 } { 3 }$
C) $\frac { 16 } { 3 }$
D) $\frac { 14 } { 3 }$
E) $\frac { 13 } { 3 }$

Question

The line integral $\int $C $\left( x ^ { 2 } + x y \right) d x + \left( y ^ { 2 } - x y \right) d y$ , where C is the line $y = x$ from (0,0) to (2,2), is

A) $\frac { 32 } { 3 }$
B) $\frac { 28 } { 3 }$
C) $\frac { 16 } { 3 }$
D) $\frac { 14 } { 3 }$
E) $\frac { 13 } { 3 }$

Quizplus · Accepted Answer

The Answer of The line integral $\int $C $\left( x ^ { 2 } + x y \right) d x + \left( y ^ { 2 } - x y \right) d y$ , where C is the line $y = x$ from (0,0) to (2,2), is

A) $\frac { 32 } { 3 }$
B) $\frac { 28 } { 3 }$
C) $\frac { 16 } { 3 }$
D) $\frac { 14 } { 3 }$
E) $\frac { 13 } { 3 }$

The Line Integral ∫\int ∫ C (x2+xy)dx+(y2−xy)dy\left( x ^ { 2 } + x y \right) d x + \left( y ^ { 2 } - x y \right) d y(x2+xy)dx+(y2−xy)dy

The Line Integral $\int$ C $\left( x ^ { 2 } + x y \right) d x + \left( y ^ { 2 } - x y \right) d y$