OCR C2 — Question 3 7 marks

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Marks7
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndefinite & Definite Integrals
TypeIntegration with algebraic manipulation
DifficultyModerate -0.8 This is a straightforward integration question testing basic techniques. Part (i) requires expanding brackets then integrating polynomials (standard C2 skill), and part (ii) is direct integration of x^(-1/2) with simple limits. Both are routine textbook exercises with no problem-solving or insight required, making this easier than average.
Spec1.08b Integrate x^n: where n != -1 and sums1.08d Evaluate definite integrals: between limits

  1. Find \(\int (2x + 1)(x + 3) \, dx\). [4]
  2. Evaluate \(\int_0^9 \frac{1}{\sqrt{x}} \, dx\). [3]

\begin{enumerate}[label=(\roman*)]
\item Find $\int (2x + 1)(x + 3) \, dx$. [4]

\item Evaluate $\int_0^9 \frac{1}{\sqrt{x}} \, dx$. [3]
\end{enumerate}

\hfill \mbox{\textit{OCR C2  Q3 [7]}}