Question 10 - A-Level Maths

Exam Board	CAIE
Module	P3 (Pure Mathematics 3)
Year	2023
Session	June
Topic	Integration by Substitution

Find the exact coordinates of \(M\).
Using the substitution \(u = 3 - 2 x\), find by integration the area of the shaded region bounded by the curve and the \(x\)-axis. Give your answer in the form \(a \sqrt { 13 }\), where \(a\) is a rational number. [5]