| Exam Board | OCR |
|---|
| Module | FP2 (Further Pure Mathematics 2) |
|---|
| Year | 2008 |
|---|
| Session | June |
|---|
| Topic | Integration using inverse trig and hyperbolic functions |
|---|
3 By using the substitution \(t = \tan \frac { 1 } { 2 } x\), find the exact value of
$$\int _ { 0 } ^ { \frac { 1 } { 2 } \pi } \frac { 1 } { 2 - \cos x } \mathrm {~d} x$$
giving the answer in terms of \(\pi\).