Question 4 - A-Level Maths

AQA Paper 3 2022 June — Question 4 2 marks

Exam Board	AQA
Module	Paper 3 (Paper 3)
Year	2022
Session	June
Marks	2
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Indefinite & Definite Integrals
Type	Basic indefinite integration
Difficulty	Easy -1.8 This is a straightforward application of the power rule for integration with no complications. With only 2 marks and requiring simple recall of ∫x^n dx = x^(n+1)/(n+1) + C for two basic terms, this is significantly easier than average—a routine drill question testing basic technique only.
Spec	1.08b Integrate x^n: where n != -1 and sums

Find $$\int \left(x^2 + x^{\frac{1}{2}}\right) dx$$ [2 marks]

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Question 4:

Answer	Marks	Guidance
4	Integrates one x term correctly
Accept unsimplified terms	1.1a	M1

x3 2x2

+ +c

3 3

Obtains correct answer ACF

Must include + c

Accept unsimplified terms

Answer	Marks	Guidance
Do not ISW	1.1b	A1
Question 4 Total	2
Q	Marking instructions	AO

Question 4:
4 | Integrates one x term correctly
Accept unsimplified terms | 1.1a | M1 | 3
x3 2x2
+ +c
3 3
Obtains correct answer ACF
Must include + c
Accept unsimplified terms
Do not ISW | 1.1b | A1
Question 4 Total | 2
Q | Marking instructions | AO | Marks | Typical solution

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Find
$$\int \left(x^2 + x^{\frac{1}{2}}\right) dx$$
[2 marks]

\hfill \mbox{\textit{AQA Paper 3 2022 Q4 [2]}}

This paper (19 questions)

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Q1 1 Q2 1 Q3 1 Q4 2 Q5 3 Q6 9 Q7 7 Q8 10 Q9 6 Q10 13 Q11 1 Q12 1 Q13 2 Q14 10 Q15 3 Q16 10 Q17 6 Q18 11 Q19 6