11.2 Integrating f(ax + b)
25
0/8
i.

Find, using algebraic integration, the exact value of

∫16102x+3dx\int_{1}^{6} \frac{10}{2x + 3} dx∫16​2x+310​dx

giving your answer in simplest form.

[3]
ii.

The rate of oxygen consumption in a bioreactor, G(t)G(t)G(t), is modeled by the function G(t)=2t3−7t2−12t+52(t−3)2G(t) = \frac{2t^3 - 7t^2 - 12t + 52}{(t - 3)^2}G(t)=(t−3)22t3−7t2−12t+52​ for t>3t > 3t>3.

Given that G(t)=At+B+C(t−3)2G(t) = At + B + \frac{C}{(t - 3)^2}G(t)=At+B+(t−3)2C​ where AAA, BBB and CCC are constants to be found, find

∫G(t)dt\int G(t) dt∫G(t)dt

[5]

11.2 Integrating f(ax + b) Questions

Practise Edexcel A Level Maths 11.2 Integrating f(ax + b) with exam-style questions for A Level Maths. 28 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

PreviousNext

11.2 Integrating f(ax + b) Questions

  1. A Level
  2. /Maths
  3. /11.2 Integrating f(ax + b)