The area bounded by the curve y = x |x|, x-axis and the ordinates x = – 1 and x = 1 is given by
[Hint: y = x² if x > 0 and y = – x² if x < 0].

Here, the required area

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Question

The area bounded by the curve y = x |x|, x-axis and the ordinates x = – 1 and x = 1 is given by [ Hint: y = x 2 if x > 0 and y = – x 2 if x < 0].

Philoid · Accepted Answer

Here, the required area

⇒

The area bounded by the curve y = x |x|, x-axis and the ordinates x = – 1 and x = 1 is given by[Hint: y = x2 if x > 0 and y = – x2 if x < 0].