Today's calculation of Integral 467
Source: 1988 Nihon University entrance exam/Industrial Technology
July 1, 2009
calculusintegrationgeometrygeometric transformationrotationtrigonometrycalculus computations
Problem Statement
Let the curve C: y\equal{}x\sqrt{9\minus{}x^2}\ (x\geq 0).
(1) Find the maximum value of .
(2) Find the area of the figure bounded by the curve and the axis.
(3) Find the volume of the solid generated by rotation of the figure about the axis.