OCR MEI C2 — Question 4 3 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndefinite & Definite Integrals
TypePure definite integration
DifficultyModerate -0.8 This is a straightforward definite integration question requiring only the power rule and evaluation at limits. It's simpler than average A-level questions as it involves no problem-solving, just direct application of a basic technique with simple polynomial terms.
Spec1.08b Integrate x^n: where n != -1 and sums1.08d Evaluate definite integrals: between limits

Find \(\int_2^5 (2x^3 + 3) dx\). [3]

Question 4:
AnswerMarks
4½x4 + 3x
F[5] – F[2]
[=327.5 − 14]
AnswerMarks
=313.5 o.e.M1
M1
AnswerMarks
A1accept unsimplified
at least one term correctly integrated,
AnswerMarks
may be implied by A1ignore + c
condone omission of brackets
313.5 unsupported scores 0
Question 4:
4 | ½x4 + 3x
F[5] – F[2]
[=327.5 − 14]
=313.5 o.e. | M1
M1
A1 | accept unsimplified
at least one term correctly integrated,
may be implied by A1 | ignore + c
condone omission of brackets
313.5 unsupported scores 0
Find $\int_2^5 (2x^3 + 3) dx$. [3]

\hfill \mbox{\textit{OCR MEI C2  Q4 [3]}}