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Previous Year Question (PYQs)

Find the area bounded by the curve $y = |\,|x - 1| - 2|$ with the X-axis.




Solution

$y = ||x - 1| - 2|$ Critical points where inner terms change sign: $x = -1,, 1,, 3.$ Compute areas of each segment geometrically (each forms triangles): Areas = $1 + 1 + 2 = 4.$

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