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Question 413

The curve C C\,C with equation y=f(x)y = f(x)y=f(x) is shown on the diagram.

A coordinate diagram showing a smooth curve with a minimum to the right of the y-axis, with horizontal and vertical axes labelled x and y.

Given the minimum point of C C\,C is (1,e2)(1, e^2)(1,e2) and f′(x)=4(x−1)e2xf'(x) = 4(x - 1)e^{2x}f′(x)=4(x−1)e2x find an equation for f(x)f(x)f(x), giving your answer in exact form.

[6]
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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