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Integration

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Question 314

A coordinate diagram shows the curve y = x ln x, dipping below the x-axis before crossing it, with a vertical boundary at x = 2 and the bounded region labelled R.

The diagram shows the curve y=xln⁡xy = x \ln xy=xlnx, x>0x > 0x>0. The region R R\,R is bounded by the curve, the line x=2x = 2x=2 and the xxx-axis.

Show that the exact area of R=Aln⁡2+BR = A \ln 2 + BR=Aln2+B where A A\,A and B B\,B are rational numbers to be found.

[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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