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1.11 H: Integration

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Question 85

The rate at which a chemical residue accumulates in a filtration system, R R\,R milligrams per hour, is modeled by the equation:

R(t)=(5t−2)(3t+1)3t,t>0 R(t) = \frac{(5\sqrt{t} - 2)(3t + 1)}{3\sqrt{t}}, \quad t > 0 R(t)=3t​(5t​−2)(3t+1)​,t>0

where t t\,t is the time in hours since the filter was installed. Determine the general expression for the total mass of residue, M(t)M(t)M(t), in the system, giving your answer in simplest form.

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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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