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Question 564
i.

Find

∫x2e2x dx \int x^2e^{2x} \, dx ∫x2e2xdx
[4]
ii.

Use the substitution u=2x+1u = \sqrt{2x + 1}u=2x+1​ to show that

∫12x2x+1 dx=2(2x+1)12(Ax+B)+k \int \frac{12x}{\sqrt{2x + 1}} \, dx = 2(2x + 1)^{\frac{1}{2}}(Ax + B) + k ∫2x+1​12x​dx=2(2x+1)21​(Ax+B)+k

where AAA and BBB are integers to be found and kkk is an arbitrary constant.

[6]
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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