| Exam Board | Edexcel |
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| Module | C4 (Core Mathematics 4) |
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| Topic | Integration by Parts |
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2. (a) Use integration by parts to find
$$\int x \cos 2 x d x$$
(b) Prove that the answer to part (a) may be expressed as
$$\frac { 1 } { 2 } \sin x ( 2 x \cos x - \sin x ) + C ,$$
where \(C\) is an arbitrary constant.