| Exam Board | OCR |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Year | 2010 |
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| Session | June |
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| Topic | Integration using inverse trig and hyperbolic functions |
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3 Use the substitution \(t = \tan \frac { 1 } { 2 } x\) to show that
$$\int _ { 0 } ^ { \frac { 1 } { 3 } \pi } \frac { 1 } { 1 - \sin x } \mathrm {~d} x = 1 + \sqrt { 3 }$$