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11.6 Integration by Parts

Question 8

A model for the power output $P$ (in megawatts) of a tidal turbine over an 11-hour cycle is given by

t^2) \ln t, \quad 1 \le t \le 9

where $t\,$ is the time in hours after the start of the observation period. The total energy generated during this period is given by the area under the power-time graph.

Show that the total energy generated between $t = 1$ and $t = 9$ can be expressed in the form

\ln 3

where $p\,$ and $q\,$ are rational numbers to be determined.

[9]

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

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11.6 Integration by Parts

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Question 8

A model for the power output $P$ (in megawatts) of a tidal turbine over an 11-hour cycle is given by

t^2) \ln t, \quad 1 \le t \le 9

where $t\,$ is the time in hours after the start of the observation period. The total energy generated during this period is given by the area under the power-time graph.

Show that the total energy generated between $t = 1$ and $t = 9$ can be expressed in the form

\ln 3

where $p\,$ and $q\,$ are rational numbers to be determined.

[9]

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.