Mathematics (AS & A Level) · May / June 2025 · Paper 15 · Question 4
9709
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O y x 2 y x x 1 2 2 = - The diagram shows part of the curve y x x 1 2 2 = - . The shaded region is bounded by the curve, the line x 2 = and the x-axis. Find the volume formed when the shaded region is rotated through 360° about the x-axis, giving your answer correct to 2 decimal places. [5]
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