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Given $\vec v= x\cos ^2y \hat i + x^2e^z\hat j+ z\sin^2y\hat k$ and $S$ the surface of a unit cube with one corner at the origin and edges parallel to the coordinate axes, the value of integral   $\int^1 \int_s \vec V. \hat n dS$  is __________.

Question here is 2.9 rt?
It is 2.8.  I corrected it. :-)
Thanks :)
Out of syllabus for gate 2017?