WMA11/01 Jan 2020, Question 1: Integration: Undoing Differentiation
Pearson Edexcel International AS Level Mathematics · Pure Mathematics 1 (WMA11) · Calculator · 4 marks
The question, in short
Integrate 8x³/3 − 1/(2√x) − 5 with respect to x, giving the result in its simplest form.
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Solution · 4 marks
- 1Write as powers: (8/3)x³ − ½x^(−1/2) − 5
- 2Integrate each term: (8/3)·x⁴/4 − ½·2x^(1/2) − 5x
- 3Simplify: (2/3)x⁴ − √x − 5x + c
Answer(2/3)x⁴ − x^(1/2) − 5x + c
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