| Exam Board | OCR |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2009 |
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| Session | June |
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| Topic | Integration by Substitution |
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2 Use the substitution \(x = \tan \theta\) to find the exact value of
$$\int _ { 1 } ^ { \sqrt { 3 } } \frac { 1 - x ^ { 2 } } { 1 + x ^ { 2 } } \mathrm {~d} x$$