Calculus with Applications (10th Edition)

$18\pi$
If y=0, then x=1, x=34, so that a=1, b=4. The volume is $V=\int^{4}_{1}\pi(\sqrt 2x +1)^{2}dx=\pi[\frac{(2x+1)^{2}}{4}]^{4}_{1}=18\pi$