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1.11.3 Definite integrals and areas

1.11.3 Definite integrals and areas

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Question 11

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]
Markscheme

1.11.3 Definite integrals and areas Questions

  1. A Level
  2. /Maths
  3. /1.11.3 Definite integrals and areas

26 exam-style questions on AQA A Level Maths 1.11.3 Definite integrals and areas. Each one has a worked solution and a mark scheme showing where the marks go.

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