Question 3 - A-Level Maths

Sketch the graph of \(y = | 3 x - 6 |\).
Solve the equation \(| 3 x - 6 | = x + 4\) and illustrate your answer on your graph.
\(4 \quad\) Find \(\int x \sin 3 x \mathrm {~d} x\).
\(5 \quad\) Make \(x\) the subject of \(t = \ln \sqrt { \frac { 5 } { ( x - 3 ) } }\).