Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The sketch shows the curve $y = \frac{\ln x}{x^2}$ together with its highest point $M$.
(i)[5]

Give the exact coordinates of $M$.

(ii)[3]

Estimate the value of $\int_1^4 \frac{\ln x}{x^2}\,dx$ by using the trapezium rule with three intervals, and give your answer correct to $2$ decimal places.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply product or quotient rule

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