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Question 378

The region enclosed by the yyy-axis, y=e2xy = e^{2x}y=e2x and y=6−exy = 6 - e^xy=6−ex is shown on the diagram.

A graph shows a shaded region enclosed by the y-axis and two exponential curves, with the origin and axes labelled.

Find the exact area of the shaded region.

[7]
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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