Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram presents the curve given by $x = y^2 + 1$. The points $A\,(5, 2)$ and $B\,(2, -1)$ are on the curve.

(a)[2]

Find an equation for the line $AB$.

(b)[9]

Find the volume of revolution when the area between the curve and the line $AB$ is turned through $360^\circ$ about the $y$-axis.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Find the gradient, $m=\frac{2-(-1)}{5-2}=1$.” …