| Exam Board | AQA |
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| Module | FP3 (Further Pure Mathematics 3) |
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| Year | 2009 |
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| Session | June |
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| Topic | Integration with Partial Fractions |
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4 Evaluate the improper integral
$$\int _ { 1 } ^ { \infty } \left( \frac { 1 } { x } - \frac { 4 } { 4 x + 1 } \right) \mathrm { d } x$$
showing the limiting process used and giving your answer in the form \(\ln k\), where \(k\) is a constant to be found.