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Integrate the following w.r.t.x x: (x+1...

Integrate the following w.r.t.x x: `(x+1)/((x+2)(x+3))`

Text Solution

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`int (x+1)/((x+2)(x+3))dx=int(2(x+2)-(x+3))/((x+2)(x+3))dx`
`=int((2)/(x+3)-(1)/(x+2))dx`
`=2int(1)/(x+3)dx-int(1)/(x+2)dx`
`=2log|x+3|-log|x+2|+c`
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