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WMA11/01 Jan 2024, Question 1: Integration: Undoing Differentiation

Pearson Edexcel International AS Level Mathematics · Pure Mathematics 1 (WMA11) · Calculator · 5 marks

The question, in short

Integrate the product (2x − 5)(3x + 2)(2x + 5) with respect to x and give the result in its simplest form.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 5 marks

  1. 1(2x − 5)(3x + 2) = 6x² − 11x − 10
  2. 2(6x² − 11x − 10)(2x + 5) = 12x³ + 8x² − 75x − 50
  3. 3∫ (12x³ + 8x² − 75x − 50) dx
  4. 4= 3x⁴ + (8/3)x³ − (75/2)x² − 50x + c

Answer3x⁴ + (8/3)x³ − (75/2)x² − 50x + c

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