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+lnqwhere ppp and qqq are rational numbers.
Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, 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.
