11.1 Integrating Standard Functions
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i.

Find

∫(3w+2)24w dw,w>0\int \frac{(3w+2)^2}{4\sqrt{w}} \, dw, \quad w > 0∫4w​(3w+2)2​dw,w>0

giving your answer in simplest form.

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ii.

The concentration C C\,C of a chemical in a solution, measured in mol/L, changes over time t t\,t seconds according to the model C=f(t)C = f(t)C=f(t).

It is given that:

  • f′(t)=t2+kt+mf'(t) = t^2 + kt + mf′(t)=t2+kt+m, where k k\,k and m m\,m are constants.
  • The initial concentration of the chemical is 12 mol/L.
  • At t=3t = 3t=3, the concentration is 18 mol/L.
  • At t=3t = 3t=3, the rate of change of the concentration is 2 mol/L/s.

Find f(t)f(t)f(t) in simplest form.

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11.1 Integrating Standard Functions Questions

Practise Edexcel A Level Maths 11.1 Integrating Standard Functions with exam-style questions for A Level Maths. 81 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.

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11.1 Integrating Standard Functions Questions

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