| Exam Board | Edexcel |
|---|
| Module | C4 (Core Mathematics 4) |
|---|
| Year | 2013 |
|---|
| Session | January |
|---|
| Topic | Integration by Parts |
|---|
2. (a) Use integration to find
$$\int \frac { 1 } { x ^ { 3 } } \ln x \mathrm {~d} x$$
(b) Hence calculate
$$\int _ { 1 } ^ { 2 } \frac { 1 } { x ^ { 3 } } \ln x \mathrm {~d} x$$