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1.7 Integration

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Question 31

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]

1.7 Integration Questions

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