(a)[4]
Find the equation of the tangent at point $A$ on the curve.
(b)[4]
Calculate the area of the shaded region.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram displays the curve whose equation is $y = x^{\frac{1}{2}} + 4x^{-\frac{1}{2}}$. The line $y = 5$ cuts the curve at the points $A (1, 5)$ and $B(16, 5)$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to obtain $\frac{dy}{dx}=\frac{1}{2}x^{-\frac{1}{2}}-2x^{-3/2}$” …
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