Today's calculation of Integral 328
Source: 2008 Osaka University entrance exam/Science
May 28, 2008
calculusintegrationgeometrygeometric transformationrotationcalculus computations
Problem Statement
Let be a negative real number and be the part bounded by the curve y\equal{}2^{2x\plus{}2t}, the curve y\equal{}2^{x\plus{}3t} and the axis.
(1) Find the volume generated by rotation of about the axis.
(2) When moves in the range of negative real number, find the maximum value of .