11.2 Integrating f(ax + b)
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i.

Find, in simplest form, ∫3(2x−5)4 dx\int \frac{3}{(2x - 5)^4} \, \mathrm{d}x∫(2x−5)43​dx

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ii.

A population of bacteria grows at a rate R(t)=82t+1\displaystyle R(t) = \frac{8}{2t + 1}R(t)=2t+18​ million per hour, where t t\,t is the time in hours, t≥0t \ge 0t≥0.

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

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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.

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11.2 Integrating f(ax + b) Questions

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