| Exam Board | Edexcel |
|---|
| Module | FP3 (Further Pure Mathematics 3) |
|---|
| Topic | Integration using inverse trig and hyperbolic functions |
|---|
12.
Figure 1
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Figure 1 shows the cross-section \(R\) of an artificial ski slope. The slope is modelled by the curve with equation
$$y = \frac { 10 } { \sqrt { \left( 4 x ^ { 2 } + 9 \right) } } , \quad 0 \leq x \leq 5$$
Given that 1 unit on each axis represents 10 metres, use integration to calculate the area \(R\). Show your method clearly and give your answer to 2 significant figures.
[0pt]
[P5 June 2003 Qn 3]