The base of a solid lies in the region bounded by the -axis and the curve for

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The base of a solid lies in the region bounded by the

y

-axis and the curve

x = \ln(y+1)

for

0 \le y \le e^{2}-1

. Each cross section perpendicular to the

y

-axis is an isosceles right triangle whose legs are contained in the base. Find the exact volume of the solid.