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1. Using washers, the volume is given by the integral


We're using washers whose centers depend on the value of
, hence we integrate with respect to
2. The area of the given region is given by the integral

To compute the integral, first consider the substitution
, or
so that
. Then
and
, so the integral is equivalently

Integrate by parts, taking


so that

and
, so the area is

For the remaining integral, substitute
, so that
. Then
and
:

(notice that the integral is improper)


Answer:
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B.do not operate electrical equipment when working in wet conditions
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