OCR MEI C2 — Question 6 4 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndefinite & Definite Integrals
TypePure definite integration
DifficultyModerate -0.3 This is a straightforward integration question requiring only basic power rule application (rewriting 1/x³ as x⁻³) and evaluation of definite integral limits. It's slightly easier than average because it involves routine techniques with no problem-solving or conceptual challenges, though the negative power and arithmetic at the limits prevent it from being trivial.
Spec1.08b Integrate x^n: where n != -1 and sums1.08d Evaluate definite integrals: between limits

Find \(\int_2^5 \left(1 - \frac{6}{x^3}\right) dx\). [4]

Question 6:
AnswerMarks
62
6x
x − o.e.
2
their [5 + 3 ] – [2 +3]
25 4
AnswerMarks
= 2.37 o.e. c.a.o.2
M1
AnswerMarks
A1M1 for 1 term correct
Dependent on at least M1 already
earned
i.s.w.
Question 6:
6 | 2
6x
x − o.e.
2
their [5 + 3 ] – [2 +3]
25 4
= 2.37 o.e. c.a.o. | 2
M1
A1 | M1 for 1 term correct
Dependent on at least M1 already
earned
i.s.w.
Find $\int_2^5 \left(1 - \frac{6}{x^3}\right) dx$. [4]

\hfill \mbox{\textit{OCR MEI C2  Q6 [4]}}