Mathematics

Problem

Let

k(x)=x^{3}-4x

on the interval

[-3,3]

. Which of the following is the exact total area of the region bounded by the graph of

k

and the

x

-axis on this interval? a)

\dfrac{49}{2}

\dfrac{41}{2}

\dfrac{41}{4}

\dfrac{45}{2}