| Date | November 2015 | Marks available | 4 | Reference code | 15N.1.hl.TZ0.2 |
| Level | HL only | Paper | 1 | Time zone | TZ0 |
| Command term | Find and Use | Question number | 2 | Adapted from | N/A |
Question
Using integration by parts find \(\int {x\sin x{\text{d}}x} \).
Markscheme
attempt to integrate one factor and differentiate the other, leading to a sum of two terms M1
\(\int {x\sin x{\text{d}}x = x( - \cos x) + } \int {\cos x{\text{d}}x} \) (A1)(A1)
\( = - x\cos x + \sin x + c\) A1
Note: Only award final A1 if \( + {\text{ }}c\) is seen.
[4 marks]
Examiners report
[N/A]
