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int(2x)/((2x+1)^2)dx...

`int(2x)/((2x+1)^2)dx`

Text Solution

Verified by Experts

`t=sin^(-1)x`
`dt=1/sqrt(1-x^2)dx`
`int(e^m sin^(-1)x)/sqrt(1-x^2)dx=inte^(mt)dt`
`=1/me^(mt)+c`
`=1/me^(msin^(-1)x)+C`.
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