| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indefinite & Definite Integrals |
| Type | Basic indefinite integration |
| Difficulty | Easy -1.3 This is a straightforward two-part question testing basic differentiation and integration rules with simple power functions. Both parts require only direct application of standard formulas (rewriting as powers of x, then applying power rule), with no problem-solving or conceptual depth—significantly easier than average A-level questions. |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.08b Integrate x^n: where n != -1 and sums |
| Answer | Marks | Guidance |
|---|---|---|
| 8 | (i) | 1 |
| Answer | Marks |
|---|---|
| 4x3 isw cao | M1 |
| Answer | Marks |
|---|---|
| [2] | k is any non-zero constant |
| ignore + c | allow any equivalent exact simplified |
| Answer | Marks | Guidance |
|---|---|---|
| 8 | (ii) | kx−3+1 oe |
| Answer | Marks |
|---|---|
| +c | M1 |
| Answer | Marks | Guidance |
|---|---|---|
| [3] | k is any non-zero constant | allow any equivalent exact simplified |
Question 8:
8 | (i) | 1
−1
kx3 oe
−2
4x3 isw cao | M1
A1
[2] | k is any non-zero constant
ignore + c | allow any equivalent exact simplified
form
8 | (ii) | kx−3+1 oe
−3x−2 isw
+c | M1
A1
A1
[3] | k is any non-zero constant | allow any equivalent exact simplified
form\begin{enumerate}[label=(\roman*)]
\item Differentiate $12\sqrt{x}$. [2]
\item Integrate $\frac{6}{x^5}$. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 Q8 [5]}}