Let be the solid whose base is the region between the lines and for

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let

S

be the solid whose base is the region between the lines

y=2x+1

and

y=-x

for

0\le x\le 1

. Square cross sections are taken perpendicular to the

x

-axis. What is the volume of

S

? (a)

\dfrac{13}{3}

(b)

7

(c)

10

(d)

\dfrac{5}{2}