A solid has base the interval (0 x 5 ) on the (x )-axis

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

Problem

A solid has base the interval

0\le x\le 5

on the

x

-axis. At each value of

x

, the cross section perpendicular to the

x

-axis is a rectangle of width

2

and height

\sqrt{x+1}

. Determine the volume of the solid.