| Exam Board | Edexcel |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2021 |
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| Session | October |
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| Topic | Integration by Substitution |
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5. (i) Find, by algebraic integration, the exact value of
$$\int _ { 2 } ^ { 4 } \frac { 8 } { ( 2 x - 3 ) ^ { 3 } } d x$$
(ii) Find, in simplest form,
$$\int x \left( x ^ { 2 } + 3 \right) ^ { 7 } d x$$