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11.6 Integration by Parts

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Question 37

A robotic arm's angular velocity $ω\omega$ (in rad s $^{-1}$ ) over the interval $\le t \le \pi$ is modelled by the function

\omega(t) = t \cos\left(\frac{1}{2}t\right)

where $t$ is the time in seconds.

Show that the total angular displacement of the arm between $t = 0$ and $\pi$ is $(2π−4)(2\pi - 4)$ radians.

[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 37

A robotic arm's angular velocity $ω\omega$ (in rad s $^{-1}$ ) over the interval $\le t \le \pi$ is modelled by the function

\omega(t) = t \cos\left(\frac{1}{2}t\right)

where $t$ is the time in seconds.

Show that the total angular displacement of the arm between $t = 0$ and $\pi$ is $(2π−4)(2\pi - 4)$ radians.

[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.