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3.1 Algebra and functions (A-level only)

3.1 Algebra and functions (A-level only)

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Question 208
a.

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​.

[2]
b.

Show that

∫353x+5(x−2)2 dx=p+ln⁡q \int_{3}^{5} \frac{3x + 5}{(x - 2)^2} \, dx = p + \ln q ∫35​(x−2)23x+5​dx=p+lnq

where ppp and qqq are rational numbers.

[5]
Markscheme

3.1 Algebra and functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.1 Algebra and functions (A-level only)

281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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