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Evaluate the line integral ∫CF⋅dr∫CF⋅dr, where F(x,y,z)=sin(x)i+cos(y)j+4xzkF(x,y,z)=sin(x)i+cos(y)j+4xzk and C is given by the vector function r(t)=t3i−t2j+tkr(t)=t3i−t2j+tk , 0≤t≤10≤t≤1.

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Basic Math

Evaluate the line integral∫CF⋅dr∫CF⋅dr,whereF(x,y,z)=sin(x)i+cos(y)j+4xzkF(x,y,z)=sin(x)i+cos(y)j+4xzkand C is given by the vector functionr(t)=t3i−t2j+tkr(t)=t3i−t2j+tk, 0≤t≤10≤t≤1.

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