Stoke's Theorem: 4x^2 + y + x^2 = 4, y >= 0

cheffy

Junior Member
Joined
Jan 10, 2007
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Let n be the outer unit normal (normal away from the origin) of the parabolic shell
S: \(\displaystyle 4x^2 + y + z^2 = 4,y \ge 0\)

and let
F=\(\displaystyle \left\langle { - z + \frac{1}{{2 + x}},\tan ^{ - 1} y,x + \frac{1}{{4 + z}}} \right\rangle\)

Find the value of \(\displaystyle \int {\int {\nabla \times F \cdot nd\sigma } }\)

Help! I'm guessing I'd have to computer the line integral(?) but I don't know how to parametrize this.
Thanks!
 
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