2018 A-Level H2 Mathematics
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Question 1Techniques of Integration6 marks
- Given that $y=\frac{\ln x}{x}$, find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $x$.
[2]
- Hence, or otherwise, find the exact value of $\displaystyle\int\nolimits_{1}^{\mathrm{e}}{\frac{\ln x}{{{x}^{2}}}\mathrm{d}x}$, showing your working.
[4]
