Answer
The statement is True.
Work Step by Step
The statement is True.
The volume of the solid formed by revolving the function $f(x) $
about the x-axis on the interval [a, b] is given by
$$
\int_{a}^{b} \pi [f(x)]^{2}dx
$$
So,the volume of the solid formed by revolving the function $f(x)=x+4 $ about the x-axis on the interval [-4, 5] is given by
$$
\begin{aligned}
\int_{-4}^{5} \pi [x+4 ]^{2}dx
\end{aligned}
$$
Therefore, the statement is True.
