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1.7.2 Integration

1.7.2 Integration

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Question 8

A research probe measures the rate of accumulation of cosmic dust, DDD, on a satellite's surface over time, ttt, in years. The rate is modelled by the function:

dDdt=58t4−27t5+3 \frac{dD}{dt} = \frac{5}{8}t^4 - \frac{2}{7t^5} + \sqrt{3} dtdD​=85​t4−7t52​+3​

Find the general expression for D(t)D(t)D(t) by evaluating:

∫(58t4−27t5+3)dt \int \left( \frac{5}{8}t^4 - \frac{2}{7t^5} + \sqrt{3} \right) dt ∫(85​t4−7t52​+3​)dt

simplifying your answer.

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Markscheme

1.7.2 Integration Questions

  1. A Level
  2. /Maths
  3. /1.7.2 Integration

80 exam-style questions on CCEA A Level Maths 1.7.2 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

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