OCR MEI C2 — Question 5 10 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks10
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndefinite & Definite Integrals
TypeBasic indefinite integration
DifficultyEasy -1.2 This is a straightforward integration question requiring only the power rule applied to three terms. It's routine practice with no problem-solving element—students simply recall and apply ∫x^n dx = x^(n+1)/(n+1) + c, including converting the root to fractional index form. Worth 5 marks only because of the three separate terms to integrate.
Spec1.08b Integrate x^n: where n != -1 and sums

Find \(\int (12x^5 + \sqrt[5]{x} + 7) dx\). [5]

Question 5:
AnswerMarks
53 4
2x6 + x3 +7x+c
AnswerMarks Guidance
45 3 4 4
1 for 2x6; 2 for x3 or 1 for other kx3 ; 1 for 7x;
4
AnswerMarks
1 for +c5
Question 5:
5 | 3 4
2x6 + x3 +7x+c
4 | 5 | 3 4 4
1 for 2x6; 2 for x3 or 1 for other kx3 ; 1 for 7x;
4
1 for +c | 5
Find $\int (12x^5 + \sqrt[5]{x} + 7) dx$. [5]

\hfill \mbox{\textit{OCR MEI C2  Q5 [10]}}