Evaluate \(\mathop \smallint \limits_S^\; F.ds\) where F = 4x î – 2y2 ĵ + z2 k̂ and S is the surface bounding the region x2 + y2 = 4, z = 0 and z = 3.
1
72 π
2
64 π
3
84 π
4
90 π
Evaluate \(\mathop \smallint \limits_S^\; F.ds\) where F = 4x î – 2y2 ĵ + z2 k̂ and S is the surface bounding the region x2 + y2 = 4, z = 0 and z = 3.