Let C be the curve $y=3\sqrt[\phantom{2}]{x}$ for $1\mathrm{.}4x4\mathrm{.}5.$

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Find the surface area of revolution about the x $-$axis of R $.$

Surface area $={\displaystyle \underset{1\mathrm{.}4}{\overset{2\mathrm{.}0}{}}}f(x)dx$ where

$f(x)=$

Now integrate $to$ find surface area $={\displaystyle \underset{1\mathrm{.}4}{\overset{4\mathrm{.}5}{}}}f(x)dx=$

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