The work done in displacing a particle from t = 0 to t = 1 in a curve X = t, y = t2 + 1, z = 2tin a force field \(\rm \vec{F}=2 {xy} \vec{i}-3 {x} \vec{j}-5 {z} \vec{k}\) will be ________.

1
\(-\frac{19}{2}\) unit 
2
-10 unit 
3
\(-\frac{21}{2}\) unit 
4
\(-\frac{23}{2}\) unit 

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