OCR C4 — Question 7

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
TopicIntegration 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 $$\int _ { 0 } ^ { \frac { \pi } { 2 } } x \cos x \mathrm {~d} x$$