Evaluate the following integrals: `int_-5^0f(x)dx ,w h e r ef(x)=|x|+|x+2|+|x+5|`

Explanation

`I=\int_{-5}^{0} f(x) d x .`


`f(x)=|x|+|x+2|+|x+5| .`


`I=\int_{-5}^{0}(|x|+|x+2|+|x+5|) d x .`


`I=\int_{-5}^{0}(-x) d x+\int_{-5}^{-2}-(x-2) d x+\int_{-2}^{0}(x+2) d x`


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