Mathematics

Problem

The curve

y=x^{3}-4x

intersects the

x

-axis at

x=-2,0,

and

2

. Which of the following expressions equals the area of the region bounded by the curve and the

x

-axis between

x=-2

and

x=2

? a)

2\displaystyle\int_{0}^{2}(x^{3}-4x)\,dx

\displaystyle\int_{-2}^{2}\lvert x^{3}-4x\rvert\,dx

\displaystyle\int_{0}^{2}(4x - x^{3})\,dx

\displaystyle\int_{-2}^{2}(x^{3}-4x)\,dx