OCR MEI AS Paper 2 2021 November — Question 4 4 marks

Exam BoardOCR MEI
ModuleAS Paper 2 (AS Paper 2)
Year2021
SessionNovember
Marks4
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Mark schemeDownload PDF ↗
TopicStandard Integrals and Reverse Chain Rule
TypeFind indefinite integral of polynomial/power
DifficultyEasy -1.3 This is a straightforward AS-level integration question requiring only direct application of the power rule to two terms. It involves routine manipulation (rewriting 1/√x as x^(-1/2)) and standard integration formulas with no problem-solving or conceptual challenge beyond basic recall.
Spec1.08b Integrate x^n: where n != -1 and sums
4 Find \(\int \left( 9 x ^ { 2 } + \frac { 6 } { \sqrt { x } } \right) \mathrm { d } x\).
Question 4:
AnswerMarks Guidance
\(\frac{9x^{3}}{3}\) oeB1
\(kx^{\frac{1}{2}}\)M1
\(3x^{3} + 12x^{\frac{1}{2}} + c\)A1 2 elements correct
A1all 3 elements correct
[4]
**Question 4:**

$\frac{9x^{3}}{3}$ oe | B1 |

$kx^{\frac{1}{2}}$ | M1 |

$3x^{3} + 12x^{\frac{1}{2}} + c$ | A1 | 2 elements correct

| A1 | all 3 elements correct

**[4]**

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4 Find $\int \left( 9 x ^ { 2 } + \frac { 6 } { \sqrt { x } } \right) \mathrm { d } x$.

\hfill \mbox{\textit{OCR MEI AS Paper 2 2021 Q4 [4]}}
This paper (13 questions)
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Q1 3 Q2 2 Q3 3 Q4 4 Q5 7 Q6 6 Q7 7 Q8 4 Q9 5 Q10 6 Q11 6 Q12 8 Q13 9