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11.6 Integration by Parts

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Question 39

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

The velocity $v (t)$ , in $s−1\text{mm s}^{-1}$ , of a microscopic probe is modeled by the function

\cos(3t), \quad 0 \le t \le \frac{\pi}{6}

where $t\,$ is the time in seconds since the measurement began.

Find the total displacement of the probe over the interval $0≤t≤π6\displaystyle 0 \le t \le \frac{\pi}{6}$ , giving your answer in simplest form.

[5]

Markscheme

11.6 Integration by Parts Questions

A Level
Maths
11.6 Integration by Parts

52 exam-style questions on Edexcel A Level Maths 11.6 Integration by Parts. Each one has a worked solution and a mark scheme showing where the marks go.

11.6 Integration by Parts

Question bank

11.6 Integration by Parts

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42

Question 39

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

The velocity $v (t)$ , in $s−1\text{mm s}^{-1}$ , of a microscopic probe is modeled by the function

\cos(3t), \quad 0 \le t \le \frac{\pi}{6}

where $t\,$ is the time in seconds since the measurement began.

Find the total displacement of the probe over the interval $0≤t≤π6\displaystyle 0 \le t \le \frac{\pi}{6}$ , giving your answer in simplest form.

[5]

Markscheme

11.6 Integration by Parts Questions

A Level
Maths
11.6 Integration by Parts

52 exam-style questions on Edexcel A Level Maths 11.6 Integration by Parts. Each one has a worked solution and a mark scheme showing where the marks go.