OCR MEI C2 — Question 10 5 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndefinite & Definite Integrals
TypePure definite integration
DifficultyModerate -0.8 This is a straightforward integration question requiring only basic power rule application to three simple terms, followed by substitution of limits. It's routine C2 content with no problem-solving element—purely mechanical application of standard techniques, making it easier than average but not trivial due to the negative power term.
Spec1.08b Integrate x^n: where n != -1 and sums1.08d Evaluate definite integrals: between limits

Find \(\int_1^2 \left(x^4 - \frac{3}{x^2} + 1\right) dx\), showing your working. [5]

Question 10:
AnswerMarks
10x5/5 −3 x−1/−1 + x
[value at 2 − value at 1] attempted
AnswerMarks
5.7 c.a.o.B3
M1
AnswerMarks
A11 each term
dep’t on B25
Question 10:
10 | x5/5 −3 x−1/−1 + x
[value at 2 − value at 1] attempted
5.7 c.a.o. | B3
M1
A1 | 1 each term
dep’t on B2 | 5
Find $\int_1^2 \left(x^4 - \frac{3}{x^2} + 1\right) dx$, showing your working. [5]

\hfill \mbox{\textit{OCR MEI C2  Q10 [5]}}