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# Integration

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1. find the area enclosed by the line x+y=8 and the curve, y = 8/x, giving your answer in the from a + b lnc
points of intersection are (2,4) and (4,2)

A = [6x - x^2/2 - 8/1 ln x] 4 to top and 2 at bottom of bracket

= {6(4) -2 -8ln4] - [12 - 2- 8ln2]

.....???
2. (Original post by Custardcream000)
find the area enclosed by the line x+y=8 and the curve, y = 8/x, giving your answer in the from a + b lnc
points of intersection are (2,4) and (4,2)

A = [6x - x^2/2 - 8/1 ln x] 4 to top and 2 at bottom of bracket

= {6(4) -2 -8ln4] - [12 - 2- 8ln2]

.....???
If you're confident your preceding working is correct and you're struggling to simplify then just recall that 8ln4=16ln2

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