| Exam Board | Edexcel |
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| Module | C4 (Core Mathematics 4) |
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| Session | Specimen |
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| Topic | Integration by Substitution |
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3. Use the substitution \(x = \tan \theta\) to show that
$$\int _ { 0 } ^ { 1 } \frac { 1 } { \left( 1 + x ^ { 2 } \right) ^ { 2 } } \mathrm {~d} x = \frac { \pi } { 8 } + \frac { 1 } { 4 }$$
(8)