Easy -1.3 This is a straightforward application of the power rule for integration with no complications. Students simply add 1 to each power and divide by the new power—pure mechanical recall with no problem-solving, conceptual insight, or multi-step reasoning required. Easier than average A-level questions.
B1 for \(\frac{1}{2}x^6\); M1 for \(kx^{\frac{1}{2}}\); A1 for \(k=4\); or B1 for \(+c\) dependent on at least one power increased
**Question 2:**
| Answer | Mark | Guidance |
|--------|------|----------|
| $\frac{1}{2}x^6 + 4x^{\frac{1}{2}} + c$ | **4** | **B1** for $\frac{1}{2}x^6$; **M1** for $kx^{\frac{1}{2}}$; **A1** for $k=4$; or **B1** for $+c$ dependent on at least one power increased | allow $\frac{1}{6}x^6$ isw |
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