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

Question 69

Essay

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

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