`(4x+1)/(sqrt(2x^(2)+x-3))`

Explanation

`int(4x+1)/(sqrt(2x^(2)+x-3))" "{:("माना "2x^(2)+x-3=t^(2)),(rArr (4x+1)dx=2t dt):}`
`=int(2tdt)/(sqrt(t^(2)))=2 int 1 dt = 2t+c`
`=2sqrt(2x^(2)+x-3)+c`