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int(3x+4)/sqrt(2x-3)dx...

`int(3x+4)/sqrt(2x-3)dx`

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`int(3x+4)/sqrt(2x-3)dx` [Put 2x-3=t^2
Then 2dx=2tdt
or dx=tdt]
=`int(3((t^2+3)/2)+4)/t .tdt`
=`3/2intt^2dt+17/2intdt=3/2.t^3/3+17/2t+C`
=`1/2t^3+17/2t+C`
=`1/2(2x-3)^(2/3) +17/2(2x-3)^(1/2) +C`
=`(x+7)sqrt(2x-3)dx`
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