Consider the vector field vec$(F)=($:$4x3y,3x5y$:$).$

Is this vector field Conservative?

Use method of your choice to evaluate ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r)$ along the curve C : vec$(r)(t)=t^2$vec$(i)t^3$vec$(j),$ for $0t3.$

${\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r)=$

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