(i)[6]
Determine $\alpha$, giving your answer in degrees correct to $3$ significant figures.
(ii)[6]
Determine by integration the area of the shaded region.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram presents parts of the curves $y = \sqrt{4x + 1}$ and $y = \frac{1}{2}x^2 + 1$, which intersect at the points $P(0, 1)$ and $Q(2, 3)$. At $Q$, the angle between the tangents to the two curves is $\alpha$.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate the expressions $y=\sqrt{4x+1}$ and $y=\dfrac{1}{2}x^2+1$” …
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