The diagram shows part of the curve y = e 3x + 1 and the line y

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The diagram shows part of the curve y = e3x + 1 and the line y = 8. The curve and the line intersect at the point (h, 8).

a. Find h, giving your answer in terms of natural logarithms.

The region R is bounded by the curve, the x-axis, the y-axis and the line x = h.

b. Use integration to show the area of R is 2 +1/3 ln 7.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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