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11.2 Integrating f(ax + b)

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Question 15

The rate of increase of a substance's temperature, $T\,$ in degrees Celsius, over time $t\,$ minutes is modeled by the equation

\frac{dT}{dt} = \frac{5}{2t + 3}, \quad t \ge 0

Calculate the exact change in temperature between $t = 1$ and $t = 6$ minutes, giving your answer in its simplest form.

[3]

ii.

$\dfrac{2x^3 - 11x^2 - 8x + 87}{(x - 4)^2}$ for $x > 4$ .

Given that $\dfrac{C}{(x - 4)^2}$ where $A$ , $B\,$ and $C\,$ are constants to be determined, find

\int g(x) \, dx

[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 15

The rate of increase of a substance's temperature, $T\,$ in degrees Celsius, over time $t\,$ minutes is modeled by the equation

\frac{dT}{dt} = \frac{5}{2t + 3}, \quad t \ge 0

Calculate the exact change in temperature between $t = 1$ and $t = 6$ minutes, giving your answer in its simplest form.

[3]

ii.

$\dfrac{2x^3 - 11x^2 - 8x + 87}{(x - 4)^2}$ for $x > 4$ .

Given that $\dfrac{C}{(x - 4)^2}$ where $A$ , $B\,$ and $C\,$ are constants to be determined, find

\int g(x) \, dx

[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.