Seven is reading a book while on vacation. So far, he has read 1/6 of the book. He wants to finish 3/6 of the book by the end of
2 answers:
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You can parameterize using spherical coordinates by
with and
.
Take the normal vector to to be
(I use to avoid negative signs. The orientation of the normal vector doesn't matter for a scalar surface integral; you could just as easily use
.)
Then
and the integral of over
is