(a)[4]
Determine the exact coordinates of $M$.
(b)[7]
Find the area of the region enclosed by the curve and the line segment $AB$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram presents the curve with equation $y = 2x^{\frac{2}{3}} - 3x^{-\frac{1}{3}} + 1$ for $x > 0$. This curve crosses the $x$-axis at points $A$ and $B$ and has a minimum point $M$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out differentiation to obtain $-\tfrac{4}{3}x^{-\tfrac{5}{3}}+x^{-\tfrac{4}{3}}$” …
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