Let be the region in the first quadrant bounded above by the graph of for

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

Problem

Let

R

be the region in the first quadrant bounded above by the graph of

y = \ln(3-x)

for

0 \le x \le 2

R

is the base of a solid for which each cross-section perpendicular to the

x

-axis is a square. What is the volume of the solid?