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Find CFdr\int _ { C } \vec { F } \cdot d \vec { r }

Question 34

Multiple Choice

Find CFdr\int _ { C } \vec { F } \cdot d \vec { r } of the function over the given curve: F(x,y) =x,y\vec { F } ( x , y ) = \langle x , y \rangle and the curve C is given by r(t) =cos(t) ,sin(t) ,0tπ2\vec { r } ( t ) = \langle \cos ( t ) , \sin ( t ) \rangle , 0 \leq t \leq \frac { \pi } { 2 }


A) 12\frac { 1 } { 2 }
B) 00
C) 1- 1
D) π1\pi - 1

Correct Answer:

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