| Exam Board | SPS |
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| Module | SPS FM (SPS FM) |
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| Year | 2021 |
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| Session | November |
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| Marks | 4 |
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| Topic | Integration using inverse trig and hyperbolic functions |
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5. Use a trigonometrical substitution to show that
$$\int _ { 0 } ^ { 2 } \frac { 1 } { \left( 16 - x ^ { 2 } \right) ^ { \frac { 3 } { 2 } } } d x = \frac { 1 } { 16 \sqrt { 3 } }$$
[4 marks]
[0pt]
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