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Question 646

Use algebraic integration and the substitution u=xu = \sqrt{x}u=x​ to find the exact value of ∫1963x+xx dx\int_{1}^{9} \frac{6}{3x + x\sqrt{x}} \, dx∫19​3x+xx​6​dx Write your answer in the form 4ln⁡(ab)4 \ln \left(\frac{a}{b}\right)4ln(ba​), where aaa and bbb are integers to be found. (Solutions relying entirely on calculator technology are not acceptable.)

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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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