| Exam Board | OCR |
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| Module | C4 (Core Mathematics 4) |
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| Topic | Integration by Substitution |
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6. (i) Find
$$\int \cot ^ { 2 } 2 x \mathrm {~d} x$$
(ii) Use the substitution \(u ^ { 2 } = x + 1\) to evaluate
$$\int _ { 0 } ^ { 3 } \frac { x ^ { 2 } } { \sqrt { x + 1 } } \mathrm {~d} x$$