Skip to content

Course home

11.1 Integrating Standard Functions

11.1 Integrating Standard Functions

EasyMedium
12345678910111213
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.

[4]
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.

Question bank