| Exam Board | WJEC |
|---|---|
| Module | Unit 3 (Unit 3) |
| Year | 2018 |
| Session | June |
| Marks | 12 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Integration by Parts |
| Type | Independent multi-part (different techniques) |
| Difficulty | Standard +0.3 Part (a) is a standard integration by parts question with logarithm, requiring careful application of the formula but following a routine procedure. Part (b) requires splitting the integral and recognizing standard forms (arcsin derivative and substitution), which is slightly more sophisticated but still a textbook exercise. Both are multi-step problems worth 6 marks each, placing them slightly above average difficulty but well within standard A-level integration techniques. |
| Spec | 1.08h Integration by substitution1.08i Integration by parts |
Evaluate
\begin{enumerate}[label=(\alph*)]
\item $\int_0^2 x^3 \ln x \, dx$. [6]
\item $\int_0^1 \frac{2+x}{\sqrt{4-x^2}} \, dx$. [6]
\end{enumerate}
\hfill \mbox{\textit{WJEC Unit 3 2018 Q14 [12]}}