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9709 P15 - Jun 2025 - Q4 - 5 marks
9727
Region under y=x squared minus reciprocal x squared, between positive intercept and x2

The shaded region is bounded by \(y=x^2-\frac1{x^2}\), \(x=2\), and the \(x\)-axis. Find its volume when rotated through \(360^\circ\) about the \(x\)-axis, to 2 decimal places. [5]

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