OCR MEI AS Paper 2 2018 June — Question 6 4 marks

Exam BoardOCR MEI
ModuleAS Paper 2 (AS Paper 2)
Year2018
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndefinite & Definite Integrals
TypeShow definite integral equals value
DifficultyModerate -0.8 This is a straightforward integration question requiring only basic power rule application (rewriting √x as x^{1/2}) and substitution of limits. With 4 marks for a routine calculation that follows standard A-level integration procedures, this is easier than average—no problem-solving or insight needed, just mechanical execution of a familiar technique.
Spec1.08b Integrate x^n: where n != -1 and sums1.08d Evaluate definite integrals: between limits
Show that \(\int_0^9 (3 + 4\sqrt{x})dx = 99\). [4]
Question 6:
AnswerMarks
63
4x2
F[x]3x oe
3
2
F[9] ‒ F[0]
AnswerMarks
27 + =99M1
A1
B1
B1
AnswerMarks
[4]2.1
1.1
1.1
AnswerMarks
2.4Attempt at integration; sight of (first
term) kx or (second term)
Dep M1; ft their F(x);
Accept 27 + 72 =99
AnswerMarks
AGAllow +c
Must see convincing
arithmetic for award of final
mark
Question 6:
6 | 3
4x2
F[x]3x oe
3
2
F[9] ‒ F[0]
27 + =99 | M1
A1
B1
B1
[4] | 2.1
1.1
1.1
2.4 | Attempt at integration; sight of (first
term) kx or (second term)
Dep M1; ft their F(x);
Accept 27 + 72 =99
AG | Allow +c
Must see convincing
arithmetic for award of final
mark
Show that $\int_0^9 (3 + 4\sqrt{x})dx = 99$. [4]

\hfill \mbox{\textit{OCR MEI AS Paper 2 2018 Q6 [4]}}
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Q1 2 Q2 3 Q3 3 Q4 5 Q5 3 Q6 4 Q7 8 Q8 7 Q9 7 Q10 9 Q11 9 Q12 10