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1.11 H: Integration

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Question 72

The rate of vertical ascent, dhdt\frac{dh}{dt}dtdh​ in metres per minute, of a weather balloon is modelled by the expression:

dhdt=(3t−2)(4t+3)(3t+2) \frac{dh}{dt} = (3t - 2)(4t + 3)(3t + 2) dtdh​=(3t−2)(4t+3)(3t+2)

where ttt is the time in minutes. Find the general expression for the height hhh of the balloon at time ttt, writing 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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