| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indefinite & Definite Integrals |
| Type | Basic indefinite integration |
| Difficulty | Easy -1.3 This is a straightforward C1 question requiring only direct application of basic differentiation and integration rules for power functions. Both parts are routine calculations with no problem-solving element—students simply apply the power rule mechanically to x^(1/3). |
| Spec | 1.07i Differentiate x^n: for rational n and sums1.08b Integrate x^n: where n != -1 and sums |
$y = 7 + 10x^{\frac{1}{3}}$.
\begin{enumerate}[label=(\alph*)]
\item Find $\frac{dy}{dx}$. [2]
\item Find $\int y \, dx$. [3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q3 [5]}}