The graphs of and enclose a region between and

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

Problem

The graphs of

x = y

and

x = y^{3}

enclose a region between

y = -1

and

y = 1

. What is the total area of this region? (a)

0

(b)

\dfrac14

(c)

\dfrac12

(d)

\dfrac34