R is the region bounded by the functions

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

and the lines x=1 and x=4.



Represent the volume when R is rotated around the X-AXIS.

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

Use pi for "$\displaystyle \pi$" and sqrt(x) for "$\displaystyle \sqrt{{{x}}}$" and (x+1)^2 for "$\displaystyle {\left({x}+{1}\right)}^{{2}}$"