Easy -1.8 This is a straightforward application of the power rule for integration to a simple polynomial with two terms. It requires only direct recall of the basic integration formula with no problem-solving, making it significantly easier than average A-level questions.
M1: attempt to integrate \(x^n \to x^{n+1}\); can be given if \(+c\) is only correct term
1st A1: for \(\frac{5}{3}x^3\) or \(2x+c\); accept \(1\frac{2}{3}\) for \(\frac{5}{3}\); do not accept \(\frac{2x}{1}\) or \(2x^1\) as final answer
2nd A1: as printed, no extra or omitted terms; accept \(1\frac{2}{3}\) or \(1.\dot{6}\) for \(\frac{5}{3}\) but not 1.6 or 1.67 etc
NB: M1A0A1 is not possible
# Question 1:
| Answer/Working | Marks | Guidance |
|---|---|---|
| $2x + \frac{5}{3}x^3 + c$ | M1A1A1 (3) | M1: attempt to integrate $x^n \to x^{n+1}$; can be given if $+c$ is only correct term |
| | | 1st A1: for $\frac{5}{3}x^3$ or $2x+c$; accept $1\frac{2}{3}$ for $\frac{5}{3}$; do not accept $\frac{2x}{1}$ or $2x^1$ as final answer |
| | | 2nd A1: as printed, no extra or omitted terms; accept $1\frac{2}{3}$ or $1.\dot{6}$ for $\frac{5}{3}$ but not 1.6 or 1.67 etc |
| | | NB: M1A0A1 is not possible |
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