The area of the region bounded by the curves $y=|x-2|, x=1, x=3$ and the $x$-axis is

The area of the region bounded by the curves $y=|x-2|, x=1, x=3$ and the $x$-axis is
  1. 1
  2. 2
  3. 3
  4. 4

Solution

Area $=\int_1^2(2-x) d x+\int_2^3(x-2) d x=1$

Asked in: JEE Main 2004

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