The area bounded by the curve y = x |x| and the ordinates x = –1 and x = 1 is given by

The area A enclosed is –


A =


Now, y = x|x| =


So, |y| = |x|x|| = x2


∴ A =


=


= 1/3 – (-1/3)


= 2/3 (Ans)

1