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1.11 H: Integration

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Question 70

The rate at which energy EEE (in microjoules) is consumed by a prototype sensor is modeled by the equation

dEdt=14t8−96t4,t>0.5 \frac{dE}{dt} = \frac{14t^8 - 9}{6t^4}, \quad t > 0.5 dtdE​=6t414t8−9​,t>0.5

where t t\,t is the time in seconds.

Find a general expression for E E\,E in terms of ttt, giving your answer in simplest form.

[4]
Markscheme

1.11 H: Integration Questions

  1. A Level
  2. /Maths
  3. /1.11 H: Integration

480 exam-style questions on AQA A Level Maths 1.11 H: Integration, covering 1.11.1 Fundamental Theorem of Calculus, 1.11.2 Integrating standard functions, 1.11.3 Definite integrals and areas, 1.11.4 Integration as the limit of a sum (A-level only), 1.11.5 Integration by substitution and by parts (A-level only), 1.11.6 Integration using partial fractions (A-level only), 1.11.7 Differential equations with separable variables (A-level only), and 1.11.8 Interpreting solutions of differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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