Edexcel C34 Specimen — Question 3

Exam BoardEdexcel
ModuleC34 (Core Mathematics 3 & 4)
SessionSpecimen
TopicIntegration by Substitution
  1. Using the substitution \(u = \cos x + 1\), or otherwise, show that
$$\int _ { 0 } ^ { \frac { \pi } { 2 } } \mathrm { e } ^ { ( \cos x + 1 ) } \sin x \mathrm {~d} x = \mathrm { e } ( \mathrm { e } - 1 )$$
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