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11.8 Finding Areas

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Question 5

An architect is designing a decorative glass panel. In the design coordinate system, the upper profile of the panel is the curve y=15−2exy = 15 - 2e^xy=15−2ex and the lower profile is the curve y=e2xy = e^{2x}y=e2x. The region, representing the panel, is bounded by these two curves and the yyy-axis (the line x=0x = 0x=0), as shown shaded in the diagram below.

A coordinate diagram shows the region shaded between the upper curve y = 15 − 2eˣ, the lower curve y = e²ˣ, and the y-axis.

Show that the exact area of this panel is

15ln⁡3−8 15 \ln 3 - 8 15ln3−8

Fully justify your answer.

[6]
Markscheme

11.8 Finding Areas Questions

  1. A Level
  2. /Maths
  3. /11.8 Finding Areas

27 exam-style questions on Edexcel A Level Maths 11.8 Finding Areas. Each one has a worked solution and a mark scheme showing where the marks go.

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