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1.11 H: Integration

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Question 114

A solar panel's power output PPP, in kilowatts, is modeled by the function

P(t)=t2+32tt,1≤t≤9 P(t) = \frac{t^2 + 3}{2t\sqrt{t}}, \quad 1 \le t \le 9 P(t)=2tt​t2+3​,1≤t≤9

where t t\,t is the time in hours after dawn.

Determine the total energy produced, in kilowatt-hours, between t=1t = 1t=1 and t=9t = 9t=9.

[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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