| Exam Board | Edexcel |
| Module | C4 (Core Mathematics 4) |
| Year | 2013 |
| Session | June |
| Topic | Integration by Substitution |
3. Using the substitution \(u = 2 + \sqrt { } ( 2 x + 1 )\), or other suitable substitutions, find the exact value of
$$\int _ { 0 } ^ { 4 } \frac { 1 } { 2 + \sqrt { } ( 2 x + 1 ) } d x$$
giving your answer in the form \(A + 2 \ln B\), where \(A\) is an integer and \(B\) is a positive constant.