3.46: Exact value of a definite integral

0606/11/M/J/24 — Question 6 · 4 marks

Find 24(22x33(3x5)2)dx\displaystyle\int_{2}^{4}\left(\dfrac{2}{2x - 3} - \dfrac{3}{(3x - 5)^{2}}\right)\mathrm{d}x, giving your answer in exact form.
[4]