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Question 26
Find ∫CF⃗⋅dr⃗\int _ { C } \vec { F } \cdot d \vec { r }∫CF⋅dr of the function over the given curve: F⃗(x,y)=⟨y,y⟩\vec { F } ( x , y ) = \langle y , y \rangleF(x,y)=⟨y,y⟩ and the curve C is given by r⃗(t)=⟨cos(t),sin(t)⟩,0≤t≤π2\vec { r } ( t ) = \langle \cos ( t ) , \sin ( t ) \rangle , 0 \leq t \leq \frac { \pi } { 2 }r(t)=⟨cos(t),sin(t)⟩,0≤t≤2π
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