| Exam Board | OCR |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2011 |
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| Session | June |
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| Topic | Integration by Substitution |
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4 Use the substitution \(x = \frac { 1 } { 3 } \sin \theta\) to find the exact value of
$$\int _ { 0 } ^ { \frac { 1 } { 6 } } \frac { 1 } { \left( 1 - 9 x ^ { 2 } \right) ^ { \frac { 3 } { 2 } } } \mathrm {~d} x$$