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1.11 H: Integration

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Question 44
a.

Show that

cos⁡3x≡4cos⁡3x−3cos⁡x \cos 3x \equiv 4\cos^3 x - 3\cos x cos3x≡4cos3x−3cosx
[4]
b.

Hence find, using algebraic integration,

∫0π6cos⁡3x dx \int_{0}^{\frac{\pi}{6}} \cos^3 x \, dx ∫06π​​cos3xdx
[4]
Markscheme

1.11 H: Integration Questions

  1. A Level
  2. /Maths
  3. /1.11 H: Integration

480 exam-style questions on AQA A Level Maths 1.11 H: Integration, covering 1.11.1 Fundamental Theorem of Calculus, 1.11.2 Integrating standard functions, 1.11.3 Definite integrals and areas, 1.11.4 Integration as the limit of a sum (A-level only), 1.11.5 Integration by substitution and by parts (A-level only), 1.11.6 Integration using partial fractions (A-level only), 1.11.7 Differential equations with separable variables (A-level only), and 1.11.8 Interpreting solutions of differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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