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Today's calculation of Integral 190

Source: Tohoku University entrance exam/Science 2007

March 3, 2007
calculusintegrationcalculus computations

Problem Statement

In xyzxyz space, let ll be the segment joining two points (1, 0, 1)(1,\ 0,\ 1) and (1, 0, 2),(1,\ 0,\ 2), and AA be the figure obtained by revolving ll around the zz axis. Find the volume of the solid obtained by revolving AA around the xx axis. Note you may not use double integral.
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