Evaluate: `intx/((x-3)sqrt(x+1))\ dx`

Explanation

`=intx/((x-3)sqrt(x+1))\ dx`


`=int(x-3+3)/((x-3)sqrt(x+1))\ dx`


`=int(1)/(sqrt(x+1))+int(3)/((x-3)sqrt(x+1))\ dx`


`=2sqrt(x+1)+3int(1)/((x-3)sqrt(x+1))\ dx`


`x+1=t^2`


`x-3=t^2-4`


`dx=2tdt`


`=2sqrt(x+1)+6int(1)/((t^2-4))\ dt`


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