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