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Evaluate the integral `int_-1^2(x-2|x|)dx`The answer is -3.5 but I can only get -1.5. I...

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Evaluate the integral `int_-1^2(x-2|x|)dx`

The answer is -3.5 but I can only get -1.5. I don't know where I went wrong.

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Posted (Answer #1)

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You must break this into two integrals because

`|x|={(x, if x geq 0),(-x, if x < 0):}`

So we get:



`3 cdot x^2/2|_-1^0-x^2/2|_0^2=3(0-1/2)-(2-0)=-3/2-2=-7/2=-3.5`

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