OCR MEI Paper 2 Specimen — Question 3 3 marks

Exam BoardOCR MEI
ModulePaper 2 (Paper 2)
SessionSpecimen
Marks3
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Mark schemeDownload PDF ↗
TopicStandard Integrals and Reverse Chain Rule
TypeDefinite integral with trigonometric functions
DifficultyEasy -1.2 This is a straightforward integration question requiring only the standard rule for integrating cos(kx) and evaluation at simple limits. With just 3 marks and no problem-solving element, it's a routine procedural question testing basic integration technique, making it easier than average.
Spec1.08c Integrate e^(kx), 1/x, sin(kx), cos(kx)1.08d Evaluate definite integrals: between limits
Evaluate \(\int_0^{\frac{\pi}{12}} \cos 3x \, dx\), giving your answer in exact form. [3]
Question 3:
AnswerMarks
3(cid:83)
(cid:83) (cid:170)sin3x(cid:186)12
(cid:179)12cos3xdx(cid:32)
(cid:171) (cid:187)
0 (cid:172) 3 (cid:188)
0
1 (cid:167) (cid:83) (cid:183)
(cid:32) sin – 0
(cid:168) (cid:184)
3 (cid:169) 4 (cid:185)
2
(cid:32) o.e.
AnswerMarks
6B1
M1
A1
AnswerMarks
[3]1.1
1.1
AnswerMarks
1.1sin3x
3
n
Must be in exact form
AnswerMarks Guidance
33 0 
Question 3:
3 | (cid:83)
(cid:83) (cid:170)sin3x(cid:186)12
(cid:179)12cos3xdx(cid:32)
(cid:171) (cid:187)
0 (cid:172) 3 (cid:188)
0
1 (cid:167) (cid:83) (cid:183)
(cid:32) sin – 0
(cid:168) (cid:184)
3 (cid:169) 4 (cid:185)
2
(cid:32) o.e.
6 | B1
M1
A1
[3] | 1.1
1.1
1.1 | sin3x
3
n
Must be in exact form
3 | 3 | 0 | 0 | 0 | 3 | 0
Evaluate $\int_0^{\frac{\pi}{12}} \cos 3x \, dx$, giving your answer in exact form. [3]

\hfill \mbox{\textit{OCR MEI Paper 2  Q3 [3]}}
This paper (16 questions)
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Q1 5 Q2 4 Q3 3 Q4 5 Q5 2 Q6 4 Q7 4 Q8 3 Q9 4 Q10 3 Q11 4 Q12 6 Q13 6 Q14 12 Q15 15 Q16 20