A curve $C$ is defined by $y=\frac{{{\left( \ln x \right)}^{4}}}{\sqrt{x}}$ where $0 Find the exact

Question

A curve $C$ is defined by $y=\frac{{{\left( \ln x \right)}^{4}}}{\sqrt{x}}$ where $0 Find the exact volume generated when the area bounded by $C$, the $x$-axis and the lines $x=1$ and $x=\mathrm{e}$ is rotated about the $x$-axis through ${{360}^{\circ }}$. [4] Find the area enclosed by $C$ and the lines $y=1$ and $y=\mathrm{e}$. [6]

Accepted Answer

$\frac{\pi}{9}$ units³; $6.25$ units² (3 s.f.)

2022 RI P1 Q8

2022 RI P1 Q8

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