11.2 Integrating f(ax + b)
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i.

Find [∫36(3−4x)2 dx[\int \frac{36}{(3 - 4x)^2} \, dx[∫(3−4x)236​dx] giving your answer in simplest form.

[2]
ii a.

Express 4x+71−2x\frac{4x + 7}{1 - 2x}1−2x4x+7​ in the form A+B1−2x where A and B are constants to be found.A + \frac{B}{1 - 2x} \text{ where } A \text{ and } B \text{ are constants to be found.}A+1−2xB​ where A and B are constants to be found.

[2]
ii b.

Hence find, using algebraic integration, the exact value of [∫−404x+71−2x dx[\int_{-4}^{0} \frac{4x + 7}{1 - 2x} \, dx[∫−40​1−2x4x+7​dx] giving your answer in the form aln⁡b−ca\ln b - calnb−c, where a,b,a, b,a,b, and ccc are integers.

[4]

11.2 Integrating f(ax + b) Questions

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.

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11.2 Integrating f(ax + b) Questions

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