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1.11 H: Integration

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Question 132

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

Find the exact value of

∫0π3(12x−π)sin⁡3x dx \int_{0}^{\frac{\pi}{3}} (12x - \pi) \sin 3x \, dx ∫03π​​(12x−π)sin3xdx

giving your answer in simplest form.

[5]
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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