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Year 12 Maths Extension 1 Calculus

Volumes of Solids of Revolution

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Questions
Question 1
12127

The region between the curve \(y = \dfrac{1}{{{x^2}}}\) and the \(x\)-axis from \(x = 1\) to \(x = 4\) is rotated about the \(x\)-axis. Calculate the exact volume of the solid formed.

\(\dfrac{{21\pi }}{{64}}{u^3}\)

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