OCR MEI C3 — Question 4 5 marks

Exam BoardOCR MEI
ModuleC3 (Core Mathematics 3)
Marks5
TopicIntegration by Parts

4 Show that \(\int _ { 0 } ^ { \frac { \pi } { 2 } } x \cos \frac { 1 } { 2 } x \mathrm {~d} x = \frac { \sqrt { 2 } } { 2 } \pi + 2 \sqrt { 2 } - 4\).
[0pt] [5]