| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Indefinite & Definite Integrals |
| Type | Find curve from gradient |
| Difficulty | Moderate -0.8 This is a straightforward C1 integration question requiring basic power rule integration and finding a constant using boundary conditions. The steps are routine: rewrite 1/x² as x^(-2), integrate to get 5x - x^(-1) + c, then substitute the given point to find c. Below average difficulty as it's a standard textbook exercise with no problem-solving required. |
| Spec | 1.08b Integrate x^n: where n != -1 and sums |
$\frac{dy}{dx} = 5 + \frac{1}{x^2}$.
\begin{enumerate}[label=(\alph*)]
\item Use integration to find $y$ in terms of $x$. [3]
\item Given that $y = 7$ when $x = 1$, find the value of $y$ at $x = 2$. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q24 [7]}}