Find ∫24(2x+5)2 dx\int \frac{24}{(2x + 5)^2} \, dx∫(2x+5)224dx giving your answer in simplest form.
Write 5x+3x+4\frac{5x + 3}{x + 4}x+45x+3 in the form A+Bx+4 where A and B are constants to be foundA + \frac{B}{x + 4} \text{ where } A \text{ and } B \text{ are constants to be found}A+x+4B where A and B are constants to be found
Hence find, using algebraic integration, the exact value of ∫−9−55x+3x+4 dx\int_{-9}^{-5} \frac{5x + 3}{x + 4} \, dx∫−9−5x+45x+3dx giving your answer in simplest form.
Practise Edexcel A Level Maths 11.2 Integrating f(ax + b) with exam-style questions for A Level Maths. 28 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.