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UPSC NDA I 2016 Mathematics Solved Paper

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For th next two (2) items that follow :
Consider the function
f(x)=xg(x) and g(x)=

1

[x]

Where [⋅] is the greatest integer function

[NDA I 2016]

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Question : 16

Total: 120

‌ What is ‌

g(x)dx‌ equal to? ‌

1
6
1
3
5
18
5
36

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