A solid has base on the -axis from to

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

Problem

A solid has base on the

x

-axis from

x=0

x=4

. At each

x

the distance between the parallel sides of the base is

s(x)=x+1

. Cross sections perpendicular to the

x

-axis are • squares for

0\le x\le 2

, • semicircles with diameter

s(x)

for

2< x\le 4

. Calculate the volume of the solid.