Express 3x+5(x−2)2\frac{3x + 5}{(x - 2)^2}(x−2)23x+5 in the form Ax−2+B(x−2)2\frac{A}{x - 2} + \frac{B}{(x - 2)^2}x−2A+(x−2)2B.
Show that ∫353x+5(x−2)2 dx=p+lnq\int_{3}^{5} \frac{3x + 5}{(x - 2)^2} \, dx = p + \ln q∫35(x−2)23x+5dx=p+lnq where ppp and qqq are rational numbers.
Practise Edexcel A Level Maths 1.4 Repeated Factors with exam-style questions for A Level Maths. 25 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.