OCR MEI C2 2011 June — Question 1 3 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2011
SessionJune
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndefinite & Definite Integrals
TypePure definite integration
DifficultyEasy -1.2 This is a straightforward definite integration question requiring only basic power rule application and evaluation at limits. It's a single-step calculation with a simple polynomial, making it easier than average for A-level, though not trivial since it requires correct execution of the fundamental theorem of calculus.
Spec1.08d Evaluate definite integrals: between limits
1 Find \(\int _ { 2 } ^ { 5 } \left( 2 x ^ { 3 } + 3 \right) \mathrm { d } x\).
AnswerMarks Guidance
\(\frac{1}{2}x^3 + 3x\)M1 accept unsimplified
\(F[5] - F[2]\)M1 at least one term correctly integrated, may be implied by A1
\([=327.5 - 14]\)A1
\(=313.5\) o.e.A1 ignore \(+ c\); condone omission of brackets; 313.5 unsupported scores 0 
$\frac{1}{2}x^3 + 3x$ | M1 | accept unsimplified
$F[5] - F[2]$ | M1 | at least one term correctly integrated, may be implied by A1
$[=327.5 - 14]$ | A1 |
$=313.5$ o.e. | A1 | ignore $+ c$; condone omission of brackets; 313.5 unsupported scores 0
1 Find $\int _ { 2 } ^ { 5 } \left( 2 x ^ { 3 } + 3 \right) \mathrm { d } x$.

\hfill \mbox{\textit{OCR MEI C2 2011 Q1 [3]}}
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Q1 3 Q2 3 Q3 5 Q4 3 Q5 5 Q6 5 Q7 4 Q8 3 Q9 3 Q10 2 Q11 11 Q12 17 Q13 12