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11.8 Finding Areas

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Question 25

The region S S\,S is bounded by the curves y=e2xy = e^{2x}y=e2x and y=15−2exy = 15 - 2e^xy=15−2ex, and the vertical line x=0x = 0x=0. These curves intersect at a point in the first quadrant.

Show that the exact area of the region S S\,S is

15ln⁡3−8 15 \ln 3 - 8 15ln3−8

Fully justify your answer.

[8]

11.8 Finding Areas Questions

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

Practise Edexcel A Level Maths 11.8 Finding Areas with exam-style questions for A Level Maths. 28 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank