UPSC NDA I 2016 Mathematics Solved Paper

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For the next two (2) items that follow :
Consider the curves
f(x)=x|x|−1 and g(x)={
3x
2
x>0
2xx≤0
[NDA I 2016]
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Question : 13 of 120
 
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What is the area bounded by the curves ?
[NDA I 2016]
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