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int[x+2]/[2x^2+6x+5].dx...

`int[x+2]/[2x^2+6x+5].dx`

Text Solution

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I= `int[x+2]/[2x^2+6x+5].dx`
`(x+2)=Ad/(dx)(x^2+6x+5)+B`
`(x+2)=A(2x+6)+B`
Solving we get,
`A=2` and `B=1/2`
`I=int (1/4(4x+6)+1/2)/( 2x^2+6x+5)`
`I=int (1/4(4x+6))/( ...
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