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Question 521
i.

Find

∫24(2x+5)2 dx \int \frac{24}{(2x + 5)^2} \, dx ∫(2x+5)224​dx

giving your answer in simplest form.

[2]
ii a.

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 found A + \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
[2]
ii b.

Hence find, using algebraic integration, the exact value of

∫−9−55x+3x+4 dx \int_{-9}^{-5} \frac{5x + 3}{x + 4} \, dx ∫−9−5​x+45x+3​dx

giving your answer in simplest form.

[3]
Markscheme

Integration Questions

  1. A Level
  2. /Maths
  3. /Integration

864 exam-style questions on Edexcel A Level Maths Integration, covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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