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1 Pure Mathematics

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Question 41

Figure 1 below shows the curve y=xln⁡xy = x\ln xy=xlnx for x>0x > 0x>0. The region R R\,R is bounded by the curve, the line x=4x = 4x=4 and the xxx-axis.

Figure for question 5

Show that the exact area of R R\,R is Aln⁡2+BA\ln 2 + BAln2+B, where A A\,A and B B\,B are rational numbers to be found.

[7]
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1 Pure Mathematics Questions

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