OCR MEI C2 2006 January — Question 8 5 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2006
SessionJanuary
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStandard Integrals and Reverse Chain Rule
TypeFind indefinite integral of polynomial/power
DifficultyEasy -1.2 This is a straightforward application of the power rule for integration to two simple terms. It requires only direct recall of the formula ∫x^n dx = x^(n+1)/(n+1) + c, with no problem-solving, manipulation, or conceptual insight needed. Easier than average for A-level.
Spec1.08b Integrate x^n: where n != -1 and sums

8 Find \(\int \left( x ^ { \frac { 1 } { 2 } } + \frac { 6 } { x ^ { 3 } } \right) \mathrm { d } x\).

AnswerMarks Guidance
\(\frac{2}{5}x^4 - 3x^2 + c\) o.e.5 marks 1 for each element
$\frac{2}{5}x^4 - 3x^2 + c$ o.e. | 5 marks | 1 for each element
8 Find $\int \left( x ^ { \frac { 1 } { 2 } } + \frac { 6 } { x ^ { 3 } } \right) \mathrm { d } x$.

\hfill \mbox{\textit{OCR MEI C2 2006 Q8 [5]}}