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int- 5^5|x+2|dx...

`int_- 5^5|x+2|dx`

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`"Let "I= int_(-5)^(5) |x+2|dx`
`:. I=int_(-5)^(-2) -(x +2)dx +int_(-2)^(5) (x+2)dx`
`[ :' int_(a)^(b) f(x) dx= int_(a)^(c) f(x) dx+int_(c)^(b) f(x) dx]`
`I= -[(x^(2))/(2)+2x]_(0)^(-2) +[(x^(2))/(2)+2x]_(-2)^(5)`
`rArr=- [((-2)^(2))/(2)+2(-2)-((-5)^(2))/(2)-2(-5)]`
`+[((5)^(2))/(2)+2(5)-((-2)^(2))/(2)-2(-2)]`
`=-[2-4-(25)/(2)+10]+[(25)/(2)+10-2+4]`
`=29`
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