MathDB

Today's calculation of Integral 897

Source: 2013 Tsuda College entrance exam

November 6, 2013

calculusintegrationgeometrygeometric transformationrotationlogarithmscalculus computations

Problem Statement

Find the volume

V

of the solid formed by a rotation of the region enclosed by the curve

y=2^{x}-1

and two lines

x=0,\ y=1

around the

y

axis.