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Integrate the following w.r.t.x. (1)/(...

Integrate the following w.r.t.x.
`(1)/(x^(2)+4x+8)`

Text Solution

Verified by Experts

`int (1)/(x^(2)+4x+8x)dx`
`=int(1)/((x^(2)+4x+4)+4)dx`
`=int(1)/((x+2)^(2)+2^(2))dx" "=(1)/(2)tan^(-1)((x+2)/(2))+c`
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