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3.6 Integration (A-level only)

3.6 Integration (A-level only)

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Question 161
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]
Markscheme

3.6 Integration (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Integration (A-level only)

363 exam-style questions on CCEA A Level Maths 3.6 Integration (A-level only), covering 3.6.1 Integration (A-level only), 3.6.2 Integration (A-level only), 3.6.3 Integration (A-level only), 3.6.4 Integration (A-level only), 3.6.5 Integration (A-level only), 3.6.6 Integration (A-level only), and 3.6.7 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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