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Question 114

The curve C C\,C with equation y=ln⁡(6−x)y = \ln(6-x)y=ln(6−x) is shown on the diagram.

The area R R\,R is enclosed by CCC, the xxx-axis and the yyy-axis.

The diagram shows the curve C, the coordinate axes, and the enclosed region R.

a.

State the value of h h\,h and write down the six yyy-values needed for the trapezium rule.

[2]
b.

Hence, use the trapezium rule with 6 ordinates to find an estimate for the area of RRR.

[3]
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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