R is the region bounded by the functions

f(x) = $\displaystyle {x}^{{2}}+{1}$ and the x-axis

and the lines x=1 and x=4.



Represent the volume when R is rotated around the line x=4.

Volume = $\displaystyle {\int_{{\text{1}}}^{{\text{4}}}}$ Preview Question 6   dx

Use pi for "$\displaystyle \pi$" and sqrt(x) for "$\displaystyle \sqrt{{{x}}}$"