MAT-262 Lecture Notes - Lecture 28: Curve, Open Set, Simply Connected Space

3. 0/0.2 points | Previous Answers WebAssignCalcET2 15.4.001c. My Notes Consider the line integral -y) dx + (4x-6 tan( ) dy over the boundary of the region bounded by y = x2 and y = 2-x2. Use Green's Theorem to write the given line integral as a double integral x))dy = -1Jx2 -1Jx2 5 dy dx -1Jx2 Ydx dy -1Jx2 Recall that Green's Theorem states that if D is a simple region bounded by a piece-wise smooth simple closed curve C, then Pdx + Q dy = - 2) dA, where p=P(x,y) and Q=Q(x,y) have continuous partial derivatives. How can knowledge of parabolas be used to describe the region of integration D?