Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The sketch depicts a segment of the curve $y=\frac{1}{2}x+\frac{4}{x}$ together with the line $y=4.5$.
(main)[8]

Determine the exact volume of the solid obtained when the shaded area is turned through $360^\circ$ about the $x$-axis.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Setting $\frac12x+\frac4x=4.5$ leads to $x^2-9x+8=0$.” …

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI