0606 P12 - Mar 2022 - Q4 - 6 marks
7751
(a) Show that \(\displaystyle \frac{1}{2x-1}+\frac{4}{(2x-1)^2}\) can be written as \(\displaystyle \frac{2x+3}{(2x-1)^2}\).
(b) Find \(\displaystyle \int_2^5 \frac{2x+3}{(2x-1)^2}\,dx\), giving your answer in the form \(a+\ln b\), where \(a\) and \(b\) are constants.
