Today's calculation of Integral 439
Source: 2009 Saitama University entrance exam/Engineering
May 16, 2009
calculusintegrationinequalitieslogarithmsanalytic geometrycalculus computations
Problem Statement
Find the volume of the solid defined by the inequality x^2 \plus{} y^2 \plus{} \ln (1 \plus{} z^2)\leq \ln 2.
Note that you may not directively use double integral here for Japanese high school students who don't study it.