Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram depicts the curve $y = x^3 \ln x$ together with its minimum point $M$.

(i)[5]

Find M's exact coordinates.

(ii)[5]

Find the exact area of the shaded region, which is bounded by the curve, the $x$-axis and the line $x = 2$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the product rule accurately.” …