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Question 683
a.

The rate of mass accumulation in a sediment trap is modeled by the function R(t)=12t4t+1R(t) = \dfrac{12t}{\sqrt{4t+1}}R(t)=4t+1​12t​, where R R\,R is the rate in grams per day and t t\,t is the time in days since the start of the study. Using a suitable substitution, find the exact mass accumulated during the first 2 days.

[5]
b.

Find ∫6x2−12x−26(x−4)(2x+3) dx\int \dfrac{6x^2 - 12x - 26}{(x - 4)(2x + 3)} \, dx∫(x−4)(2x+3)6x2−12x−26​dx

[5]
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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