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Question 57

The region enclosed by the yyy-axis, y=e2xy = e^{2x}y=e2x and y=k−exy = k - e^xy=k−ex is shown on the diagram.

The shaded region between the y-axis and two intersecting exponential curves.

Given that the exact area of the shaded region is 12ln⁡3−612\ln 3 - 612ln3−6, find the value of kkk.

[10]
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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