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Question: The area bounded by the curve y=x\|x\|, x-axis and the ordinates x=1, x=-1 is given by...

The area bounded by the curve y=x|x|, x-axis and the ordinates x=1, x=-1 is given by

A

0-

B

1/3

C

2/3

D

None of these

Answer

2/3

Explanation

Solution

Required area =∣∫−11x∣x∣dx∣= \left| \int _ { - 1 } ^ { 1 } x \right| x | d x |

=

=