| Exam Board | Edexcel |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2010 |
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| Session | June |
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| Topic | Integration by Substitution |
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2. Using the substitution \(u = \cos x + 1\), or otherwise, show that
$$\int _ { 0 } ^ { \frac { \pi } { 2 } } \mathrm { e } ^ { \cos x + 1 } \sin x \mathrm {~d} x = \mathrm { e } ( \mathrm { e } - 1 )$$
(6)