[See] Evaluate the integral ∫_D(x^2-y^2)dA with D= (x,y)| 0≤ x^2+y^2≤ 2, 0≤ xy≤ 1
Question: Evaluate the integral
\[\iint\limits_{D}{\left( {{x}^{2}}-{{y}^{2}} \right)dA}\]with \(D=\left\{ \left( x,y \right)|\,\,0\le {{x}^{2}}+{{y}^{2}}\le 2,\,\,0\le xy\le 1 \right\}\).
Deliverable: Word Document 
(See) If F(x,y)=(3x^2y,2x-y), find ∫_gamma vecF(x)dx where
(See Solution) (a) Parametrize the curve x^2/3+y^2/3=a^2/3 in the
![[All Steps] F(x,y) is define as F(x,y)=∫_(2,π)^(x,y)[](/images/solutions/MC-solution-library-45157.jpg "[All Steps] F(x,y) is define as F(x,y)=∫_(2,π)^(x,y)[ -2uv^2")
[All Steps] F(x,y) is define as F(x,y)=∫_(2,π)^(x,y)[ -2uv^2
![[Solution] Use Green’s Theorem to evaluate F(x,y)=(arctan](/images/solutions/MC-solution-library-45158.jpg "[Solution] Use Green’s Theorem to evaluate F(x,y)=(arctan y,-(xy^2)/(1+y^2))")
[Solution] Use Green’s Theorem to evaluate F(x,y)=(arctan y,-(xy^2)/(1+y^2))
(Step-by-Step) Compute the divergence and the curl of the vector
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