| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2024 |
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| Session | June |
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| Topic | Integration by Substitution |
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8 Use the substitution \(\mathrm { u } = 1 - \sin \mathrm { x }\) to find the exact value of
$$\int _ { \pi } ^ { \frac { 3 } { 2 } \pi } \frac { \sin 2 x } { \sqrt { 1 - \sin x } } d x$$
Give your answer in the form \(\mathrm { a } + \mathrm { b } \sqrt { 2 }\) where \(a\) and \(b\) are rational numbers to be determined.