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Q.

Let a function f(x) be defined in [2,2] as f(x)={{x},                 2x<1|sgnx|,            1x1{x},                  1<x2,      where{x} denotes fractional part, then area bounded by graph of f(x) and  x-axis is:

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a

2

b

3

c

4

d

5

answer is B.

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Detailed Solution

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Area bounded =12×1×1+2×1+12×1×1=3

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