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This question belongs to Engineering Maths Calculus
Calculus
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The value of integral \[\mathop{{\int\!\!\!\!\!\int}\mkern-21mu \bigcirc}\limits_{\text{S}} {\overrightarrow {\text{r}} \cdot \overrightarrow {\text{n}} {\text{ds}}} \]   over the closed surface S bounding a volume, where \[\overrightarrow {\rm{r}} = {\rm{x\hat i}} + {\rm{y\hat j}} + {\rm{z\hat k}}\]    is the position vector and \[{{\rm{\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over n} }}}\] is the normal to the surface S, is

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Correct Answer: Option C
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