Region S is bounded above by the line and below by the –axis on the interval

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

Problem

Region S is bounded above by the line

y=x

and below by the

x

–axis on the interval

0\le x\le 2

. Square cross sections are taken perpendicular to the

x

–axis. Calculate the volume of the resulting solid, giving your answer in exact form.