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3.6 Integration (A-level only)

3.6 Integration (A-level only)

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Question 201

The rate of fuel consumption RRR of a prototype engine, in litres per hour, is modelled by the equation

R(t)=244t+tt R(t) = \frac{24}{4t + t\sqrt{t}} R(t)=4t+tt​24​

where t≥1t \ge 1t≥1 is the time in hours since the engine was started. Use algebraic integration and the substitution u=tu = \sqrt{t}u=t​ to find the total fuel consumed between t=4t = 4t=4 and t=16t = 16t=16 hours. Write your answer in the form 12ln⁡(ab)12 \ln \left( \frac{a}{b} \right)12ln(ba​), where aaa and bbb are integers to be found. (Solutions relying entirely on calculator technology are not acceptable.)

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3.6 Integration (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Integration (A-level only)

363 exam-style questions on CCEA A Level Maths 3.6 Integration (A-level only), covering 3.6.1 Integration (A-level only), 3.6.2 Integration (A-level only), 3.6.3 Integration (A-level only), 3.6.4 Integration (A-level only), 3.6.5 Integration (A-level only), 3.6.6 Integration (A-level only), and 3.6.7 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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