<p>It is given that $O$ is the origin and $A$ is the point on the curve $y=x{{\mathrm{e}}^{x}}$ where $x=3$. The region bounded by the curve $y=x{{\mathrm{e}}^{x}}$and the line $OA$ is rotated through ${{360}^{\circ }}$ about the $x$-axis. Find the exact volume of the solid formed.</p><p style="text-align: right;">[7]</p>

It is given that $O$ is the origin and $A$ is the point on the curve $y=x{{\mathrm{e}}^{x}}$ where $x=3$. The region bounded by the curve $y=x{{\mathrm{e}}^{x}}$and the line $OA$ is rotated through ${{360}^{\circ }}$ about the $x$-axis. Find the exact volume of the solid formed.

Applications of Intergration - General

Applications of Intergration

H2 Math

International Baccalaureate Higher Level Mathematics

2021 YIJC P1 Q5

2021 YIJC P1 Q5

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