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Question 410
a.

Find ∫(12x2−5xx) dx\int \left( 12x^2 - \dfrac{5}{x\sqrt{x}} \right) \, dx ∫(12x2−xx​5​)dx

[3]
b.

The rate of change of the mass, MMM grams, of a chemical precipitate over time ttt minutes is modelled by the differential equation

dMdt=12t2−5tt,t>0 \dfrac{dM}{dt} = 12t^2 - \dfrac{5}{t\sqrt{t}}, \quad t > 0 dtdM​=12t2−tt​5​,t>0

Given that at t=4t = 4t=4, the mass of the precipitate is 265 grams, determine an expression for MMM in terms of ttt.

[3]
Markscheme

Integration Questions

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

864 exam-style questions on Edexcel A Level Maths Integration, covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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