Edexcel C1 — Question 2 3 marks

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStandard Integrals and Reverse Chain Rule
TypeFind indefinite integral of polynomial/power
DifficultyEasy -1.2 This is a straightforward C1 integration question requiring only direct application of the power rule to two terms. It involves routine manipulation (rewriting √x as x^{1/2}) and basic integration formulas with no problem-solving or conceptual challenge beyond remembering standard rules.
Spec1.08b Integrate x^n: where n != -1 and sums

2. Find $$\int \left( 4 x ^ { 2 } - \sqrt { x } \right) \mathrm { d } x$$

AnswerMarks Guidance
\(\int = \frac{3}{4}x^3 - \frac{3}{4}x^{\frac{1}{4}} + c\)M1 A2 (3)
$\int = \frac{3}{4}x^3 - \frac{3}{4}x^{\frac{1}{4}} + c$ | M1 A2 | (3)
2. Find

$$\int \left( 4 x ^ { 2 } - \sqrt { x } \right) \mathrm { d } x$$

\hfill \mbox{\textit{Edexcel C1  Q2 [3]}}