Question

Hence find the area bounded by the curve, y = x |x| and the coordinates x = −1 and x = 1.

Answer 1

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.