Question 4 - A-Level Maths

Exam Board	CAIE
Module	P2 (Pure Mathematics 2)
Year	2019
Session	June
Topic	Standard Integrals and Reverse Chain Rule

Find the exact value of \(\int _ { 0 } ^ { \frac { 1 } { 2 } \pi } \left( 4 \sin 2 x + 2 \cos ^ { 2 } x \right) \mathrm { d } x\). Show all necessary working.
Use the trapezium rule with two intervals to find an approximation to \(\int _ { 2 } ^ { 8 } \sqrt { } ( \ln ( 1 + x ) ) \mathrm { d } x\)