The area (in sq. units) bounded by the curve y = x|x|, X-axis and the lines x = -1 and x = 1 is

MHT CET 2023 Mathematics question

The area (in sq. units) bounded by the curve , X-axis and the lines x = -1 and x = 1 is

Answer: (A)

equals for and for , so the curve lies below the X-axis for and above it for . By symmetry about the origin (the function is odd), the area is sq.

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Question ID VK-094642