OCR MEI Paper 2 2018 June — Question 7 4 marks

Exam BoardOCR MEI
ModulePaper 2 (Paper 2)
Year2018
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStandard Integrals and Reverse Chain Rule
TypeFind indefinite integral of polynomial/power
DifficultyEasy -1.2 This is a straightforward application of standard power rule integration requiring only rewriting terms in index form (x^{1/2} and x^{-3}) and applying the formula ∫x^n dx = x^{n+1}/(n+1) + C. It's a routine two-term integration with no problem-solving or conceptual challenge, making it easier than average but not trivial since students must handle fractional and negative indices correctly.
Spec1.08b Integrate x^n: where n != -1 and sums

7 Find \(\int \left( 4 \sqrt { x } - \frac { 6 } { x ^ { 3 } } \right) \mathrm { d } x\). Answer all the questions
Section B (79 marks)

Question 7:
AnswerMarks Guidance
AnswerMarks Guidance
\(kx^{\frac{3}{2}}\)M1 (AO1.1)
\(kx^{-2}\)M1 (AO1.1)
\(\frac{8}{3}x^{\frac{3}{2}}\) or \(3x^{-2}\) seenA1 (AO1.1)
\(\frac{8}{3}x^{\frac{3}{2}}+3x^{-2}+c\) iswA1 (AO1.1)
[4]
## Question 7:
| Answer | Marks | Guidance |
|--------|-------|----------|
| $kx^{\frac{3}{2}}$ | M1 (AO1.1) | |
| $kx^{-2}$ | M1 (AO1.1) | |
| $\frac{8}{3}x^{\frac{3}{2}}$ or $3x^{-2}$ seen | A1 (AO1.1) | |
| $\frac{8}{3}x^{\frac{3}{2}}+3x^{-2}+c$ isw | A1 (AO1.1) | |
| **[4]** | | |

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7 Find $\int \left( 4 \sqrt { x } - \frac { 6 } { x ^ { 3 } } \right) \mathrm { d } x$.

Answer all the questions\\
Section B (79 marks)\\

\hfill \mbox{\textit{OCR MEI Paper 2 2018 Q7 [4]}}