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11.2 Integrating f(ax + b)

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Question 19

Find, in simplest form,

\int \frac{3}{(2x - 5)^4} \, \mathrm{d}x

[3]

ii.

A population of bacteria grows at a rate $R(t)=82t+1\displaystyle R(t) = \frac{8}{2t + 1}$ million per hour, where $t\,$ is the time in hours, $\ge 0$ .

Show, by algebraic integration, that the total growth in the population between $t = 1$ and $t = 3$ is $\ln b\,$ million, where $b\,$ is a rational constant to be found.

[5]

Markscheme

11.2 Integrating f(ax + b) Questions

A Level
Maths
11.2 Integrating f(ax + b)

28 exam-style questions on Edexcel A Level Maths 11.2 Integrating f(ax + b). Each one has a worked solution and a mark scheme showing where the marks go.

11.2 Integrating f(ax + b)

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11.2 Integrating f(ax + b)

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Question 19

Find, in simplest form,

\int \frac{3}{(2x - 5)^4} \, \mathrm{d}x

[3]

ii.

A population of bacteria grows at a rate $R(t)=82t+1\displaystyle R(t) = \frac{8}{2t + 1}$ million per hour, where $t\,$ is the time in hours, $\ge 0$ .

Show, by algebraic integration, that the total growth in the population between $t = 1$ and $t = 3$ is $\ln b\,$ million, where $b\,$ is a rational constant to be found.

[5]

Markscheme

11.2 Integrating f(ax + b) Questions

A Level
Maths
11.2 Integrating f(ax + b)

28 exam-style questions on Edexcel A Level Maths 11.2 Integrating f(ax + b). Each one has a worked solution and a mark scheme showing where the marks go.