4PM1/02 Jan 2022, Question 3: Definite Integrals and Areas
Pearson Edexcel International GCSE Further Pure Mathematics 4PM1 · Paper 2 · Calculator · 5 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Given y = 9 − x², use algebraic integration to calculate the area of the finite region enclosed between the curve and the x-axis.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 5 marks
- 19 − x² = 0 gives x = ±3
- 2Area = ∫ from −3 to 3 of (9 − x²) dx
- 3= [9x − x³/3] from −3 to 3
- 4= (27 − 9) − (−27 + 9)
- 5= 18 − (−18) = 36
Answer36
Stuck on a step? Read the free lesson: Definite Integrals and Areas
Practise more definite integrals and areas questions
Real 4PM1 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on definite integrals and areas
Also searched as: 4PM1 2 January 2022 · 4PM1/02 · 4pm1 jan22 2 · question 3.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.