Question 12(b) | BetaMath

Question 12(b)

The region, $R$ , is bounded by the function, $y = x^3$ , the $x$ -axis and the lines $x = 1$ and $x = 2$ .

What is the volume of the solid of revolution obtained when the region R is rotated about the x-axis?

Solution

We perform the integration between $x=1$ and $x=2$ to determine the region $R$

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