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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 : 17

Total: 27

What is the area of the region bounded by x-axis, the curve y=f(x) and the two ordinates x=1 and x=

5
12
square units
7
12
square units
2
3
square units
11
12
square units

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