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tejas sanjay akole Grade: 12
`        ∫(x2+4x+4)/(x2+5x+7)(x+2)½`
8 years ago

## Answers : (1)

147 Points
```										Dear tejas akole
∫(x2+4x+4)dx/(x2+5x+7)(x+2)½
=∫dx(x+2)2/(x2+5x+7)(x+2)½
let x+2 =t2
dx =2 tdt
=2∫dt(t)4/(t4+t2+1)
=2∫dt-2∫(t2+1)dt/(t4+t2+1)
=2t-2∫(1+1/t2)dt/{(t-1/t)2 +3}
now put (t-1/t) =u
(1+1/t2)dt=du
=2t-2∫du/(u2+3)   +c
now solve and put tha value ou u and t in terms of x

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8 years ago
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