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Evaluate : int(2x)/((x^2+1)\ (x^2+3))\ d...

Evaluate : `int(2x)/((x^2+1)\ (x^2+3))\ dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2)log ((x^(2)+1)/(x^(2)+3))+C`
putting `x^(2)=t and 2xdx=dt.` we get
`I=int(dt)/((2+t)(3+t)).`
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