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11.1 Integrating Standard Functions

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Question 15

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

11.1 Integrating Standard Functions Questions

  1. A Level
  2. /Maths
  3. /11.1 Integrating Standard Functions

80 exam-style questions on Edexcel A Level Maths 11.1 Integrating Standard Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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