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1.8 Integration

1.8 Integration

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Question 322

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

1.8 Integration Questions

  1. A Level
  2. /Maths
  3. /1.8 Integration

438 exam-style questions on OCR A Level Maths 1.8 Integration, covering 1.8.1 Fundamental theorem of calculus (A-level only), 1.8.2 Integrating x^n, 1.8.3 Integrating standard functions (A-level only), 1.8.4 Evaluating definite integrals, 1.8.5 Area between a curve and the x-axis, 1.8.6 Area between two curves, 1.8.7 Integration as the limit of a sum (A-level only), 1.8.8 Integration by substitution (A-level only), 1.8.9 Integration by parts (A-level only), 1.8.10 Use of partial fractions in integration (A-level only), 1.8.11 Differential equations with separable variables (A-level only), 1.8.12 Interpreting the solution of a differential equation (A-level only), and 1.8 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

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