| Exam Board | AQA |
|---|
| Module | FP3 (Further Pure Mathematics 3) |
|---|
| Year | 2013 |
|---|
| Session | June |
|---|
| Topic | Integration with Partial Fractions |
|---|
4 Evaluate the improper integral
$$\int _ { 0 } ^ { \infty } \left( \frac { 2 x } { x ^ { 2 } + 4 } - \frac { 4 } { 2 x + 3 } \right) \mathrm { d } x$$
showing the limiting process used and giving your answer in the form \(\ln k\), where \(k\) is a constant.