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The value of is
Explanation:
Given that and
<u>The value of </u><u>:</u>
The value of can be determined by substituting x = 5 in the functions f(x) and g(x) and then dividing the terms, we get, the value of
Thus, we have,
Substituting the value of x = 5 in the functions f(x) and g(x), we get,
Simplifying the terms, we have,
Adding the terms in numerator, we have,
Thus, the value of is
Use the divergence theorem. Let 
be the cylindrical region, then
(where
denotes the unit normal vector to 
, but we don't need to worry about it now)
We have
For the solid with boundary , we can set up the following volume integral in cylindrical coordinates for ease:
(where
We have
For the solid