Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram displays the curve $y = x^3 \ln x$, for $x > 0$, together with its minimum point $M$.
(a)[4]

Find the exact coordinates of point $M$.

(b)[5]

Find the exact area of the shaded region enclosed by the curve, the $x$-axis and the line $x = \frac{1}{2}$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use the product rule accurately.

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