Determine the value of the line integral ∫CF⋅dr\int_C \mathbf{F} \cdot d\mathbf{r}∫CF⋅dr where F=⟨2xy3,3x2y2⟩\mathbf{F} = \langle 2xy^3, 3x^2y^2 \rangleF=⟨2xy3,3x2y2⟩ and CCC is the curve r(t)=⟨cost,sin2t⟩\mathbf{r}(t) = \langle \cos t, \sin^2 t \rangler(t)=⟨cost,sin2t⟩ for t∈[0,π]t \in [0, \pi]t∈[0,π].
000
111
−1-1−1
222