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The value of the integral int-2^(2) |1...

The value of the integral `int_-2^(2) |1-x^2|dx` is

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The correct Answer is:
4
`int_(-2)^(2)|1-x^(2)|dx`
`=int_(-2)^(-1)(x^(2)-1)dx+int_(-1)^(1)(1-x^(2))dx+int_(1)^(2)(x^(2)-1)dx`
`=[(x^(3))/(3)-x]_(-2)^(-1)+[x-(x^(3))/(3)]_(-1)^(1)+[(x^(3))/(3)-x]_(1)^(2)`
`=(-(1)/(3)+1+(8)/(3)-2)+(1-(1)/(3)+1-(1)/(3))+((8)/(3)-2-(1)/(3)+1)`
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