OCR H240/01 2022 June — Question 9

Exam BoardOCR
ModuleH240/01 (Pure Mathematics)
Year2022
SessionJune
TopicIntegration by Substitution

9 Use the substitution \(x = 2 \sin \theta\) to show that \(\int _ { 1 } ^ { \sqrt { 3 } } \sqrt { 4 - x ^ { 2 } } \mathrm {~d} x = \frac { 1 } { 3 } \pi\).