Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram presents the line $y = x + 1$ together with the curve $y = \sqrt{x + 1}$, which intersect at $(-1, 0)$ and $(0, 1)$.
(i)[5]

Determine the area of the shaded part.

(ii)[7]

Calculate the volume produced when the shaded region is turned through $360^\circ$ about the $y$-axis.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Write down the correct integral for the area using the line and curve

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