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1.7 Integration

1.7 Integration

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Question 32

The rate at which a submersible drone consumes battery power, P(t)P(t)P(t) in watts, is modeled by the function:

P(t)=20t3−65t4+92 P(t) = 20t^3 - \frac{6}{5t^4} + \frac{9}{2} P(t)=20t3−5t46​+29​

where t>0t > 0t>0 is the duration of the mission in hours. Find an expression for the total energy consumption by evaluating the indefinite integral:

∫(20t3−65t4+92)dt \int \left( 20t^3 - \frac{6}{5t^4} + \frac{9}{2} \right) dt ∫(20t3−5t46​+29​)dt

giving each term in its simplest form.

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Markscheme

1.7 Integration Questions

  1. A Level
  2. /Maths
  3. /1.7 Integration

133 exam-style questions on CCEA A Level Maths 1.7 Integration, covering 1.7.1 Integration, 1.7.2 Integration, and 1.7.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

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