The area of the region bounded by the curuse `y=|x-2|,x=1,x=3` and the – InterviewSolution

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1.	The area of the region bounded by the curuse `y=\|x-2\|,x=1,x=3` and the x-axis isA. 4B. 2C. 3D. 1
Answer» Correct Answer - d Let A be the required area. Then, `A=underset(1)overset(3)(int)\|x-2\|dx` `impliesA=underset(1)overset(2)(int)-(x-2)dx+underset(2)overset(3)(int)(x-2)dx` `impliesA=[2x-(x^(2))/(2)]_(1)^(2)+[(x^(2))/(2)-2x]_(2)^(3)=1/2+1/2=1`

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