Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram shows a section of the curve $y = x^2 - \frac{1}{x^2}$. The shaded area is enclosed by the curve, the line $x = 2$ and the $x$-axis.
(main)[5]

Determine the volume generated when the shaded region is turned through $360^\circ$ about the $x$-axis, and give your answer correct to 2 decimal places.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Lower limit obtained correctly from $x^4=1$

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