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Question

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

1/3

B

4/3

C

2/3

D

None of these

Answer

2/3

Explanation

Solution

y = x |x| ̃ Area 10(x2)dx+01x2dx\left| \int _ { - 1 } ^ { 0 } \left( - x ^ { 2 } \right) \cdot d x \right| + \int _ { 0 } ^ { 1 } x ^ { 2 } \cdot d x