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NDA Math Area Under the Curves

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Consider the function
f(x)=|x−1|+x2
where x∊ℝ
[NDA I 2016]
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Question : 16 of 27
 
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What is the area of the region bounded by x-axis, the curve y=f(x) and the two ordinates x=
1
2
 and x=1 ?
[NDA I 2016]
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