Question 7 - A-Level Maths

Exam Board	AQA
Module	Paper 3 (Paper 3)
Year	2019
Session	June
Topic	Partial Fractions
Type	Repeated factor with x² in denominator

Express $\frac { 4 x + 3 } { ( x - 1 ) ^ { 2 } }$ in the form $\frac { A } { x - 1 } + \frac { B } { ( x - 1 ) ^ { 2 } }$ 7
Show that $$\int _ { 3 } ^ { 4 } \frac { 4 x + 3 } { ( x - 1 ) ^ { 2 } } \mathrm {~d} x = p + \ln q$$ where $p$ and $q$ are rational numbers.