| Exam Board | Edexcel |
|---|
| Module | FP3 (Further Pure Mathematics 3) |
|---|
| Topic | Integration using inverse trig and hyperbolic functions |
|---|
11. (a) Prove that the derivative of \(\operatorname { artanh } x , - 1 < x < 1\), is \(\frac { 1 } { 1 - x ^ { 2 } }\).
(3)
(b) Find \(\int \operatorname { artanh } x \mathrm {~d} x\).
(4)
[0pt]
[P5 June 2003 Qn 2]