These Ten-Year-Series (TYS) worked solutions with video explanations for 2006 A Level H2 Mathematics Paper 2 Question 2 are suggested by Mr Gan. For any comments or suggestions please contact us at support@timganmath.edu.sg.
2006 A Level H2 Math Paper 2 Question 2
Given that $z=\frac{x}{{{\left( {{x}^{2}}+32 \right)}^{\frac{1}{2}}}}$, show that $\frac{\text{d}z}{\text{d}x}=\frac{32}{{{\left( {{x}^{2}}+32 \right)}^{\frac{3}{2}}}}$.
[3]
Find the exact value of the area of the region bounded by the curve $y=\frac{1}{{{\left( {{x}^{2}}+32 \right)}^{\frac{3}{2}}}}$, the $x$-axis and the lines $x=2$ and $x=7$.
[3]
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