[See] Consider the region \mathcalR enclosed by the x -axis, x=1, and y=x^3. (5 points) Use the normal form of Green's theorem to find the flux of F=(1+y^2)
Question: Consider the region \(\mathcal{R}\) enclosed by the \(x\) -axis, \(x=1\), and \(y=x^{3}\).
- (5 points) Use the normal form of Green's theorem to find the flux of \(\mathrm{F}=\left(1+y^{2}\right) \mathbf{j}\) out of \(\mathcal{R}\).
- (4 points) Find the flux out of \(\mathcal{R}\) through the two line segments \(C_{1}\) (the horizontal segment) and \(C_{2}\) (the vertical segment).
- (4 points) Use parts (a) and (b) to find the flux out of the third side, \(C_{3}\).
Deliverable: Word Document 
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