Edexcel C1 — Question 21 5 marks

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Marks5
PaperDownload PDF ↗
TopicIndefinite & Definite Integrals
TypeBasic indefinite integration
DifficultyEasy -1.3 This is a straightforward C1 question requiring only direct application of basic power rule for differentiation and integration. Both parts involve routine manipulation of a simple power function with no problem-solving or conceptual challenge beyond recalling standard formulas.
Spec1.07i Differentiate x^n: for rational n and sums1.08b Integrate x^n: where n != -1 and sums

\(y = 7 + 10x^{\frac{3}{2}}\).
  1. Find \(\frac{dy}{dx}\). [2]
  2. Find \(\int y \, dx\). [3]

$y = 7 + 10x^{\frac{3}{2}}$.

\begin{enumerate}[label=(\alph*)]
\item Find $\frac{dy}{dx}$. [2]
\item Find $\int y \, dx$. [3]
\end{enumerate}

\hfill \mbox{\textit{Edexcel C1  Q21 [5]}}