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Question
Hence find the area bounded by the curve, y = x |x| and the coordinates x = −1 and x = 1.
Solution
Given, the equation of the curve: y = x |x|
∴ y = `{{:(-x^2",", x < 0),(x^2",", x ≥ 0):}`
Hence sketch of the region enclosed bounded by the curve, y = x |x| and the coordinates x = −1 and x = 1 is as follows.
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