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Find : int(x+3)/(sqrt(5-4x+x^2))dx...

Find : `int(x+3)/(sqrt(5-4x+x^2))dx`

Text Solution

Verified by Experts

Given `I=∫(x+3)/sqrt(x^2−4x+5 )dx`
Putting `x+3=Ad/dx​*(x^2−4x+5)+B`
=`x+3=A(2x−4)+B`
=`x+3=2Ax−4A+B`
On comparing both sides we get
`2A=1`
`−4A+B=3`
...
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