3.9: Definite integral in the form a + ln b

0606/11/M/J/21 — Question 2 · 5 marks · Log laws, Exponentials

Find 35(1x11(x1)2)dx\displaystyle\int_{3}^{5}\left(\frac{1}{x - 1} - \frac{1}{(x - 1)^{2}}\right)\mathrm{d}x, giving your answer in the form a+lnba + \ln b, where aa and bb are rational numbers.
[5]