OCR C2 2009 January — Question 1 6 marks

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2009
SessionJanuary
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndefinite & Definite Integrals
TypeBasic indefinite integration
DifficultyEasy -1.2 This is a straightforward application of the power rule for integration with no algebraic manipulation required. Both parts involve direct integration of simple polynomial/power terms with no problem-solving element—purely routine recall of integration formulas from C2 content.
Spec1.08b Integrate x^n: where n != -1 and sums

1 Find
  1. \(\int \left( x ^ { 3 } + 8 x - 5 \right) \mathrm { d } x\),
  2. \(\int 12 \sqrt { x } \mathrm {~d} x\).

1 Find\\
(i) $\int \left( x ^ { 3 } + 8 x - 5 \right) \mathrm { d } x$,\\
(ii) $\int 12 \sqrt { x } \mathrm {~d} x$.

\hfill \mbox{\textit{OCR C2 2009 Q1 [6]}}