1.

`int(dx)/(sqrt(3x^(2)+16x+12))` का मान ज्ञात कीजिए |

Answer» `int(dx)/(sqrt(3x^(2)+6x+12))=(1)/(sqrt3).int(dx)/(sqrt(x^(2)+2x+4))`
`=(1)/(sqrt3).int(dx)/(sqrt((x+1)^(2)+(sqrt3)^(2))`
माना `(x+1)=t` तथा `dx=dt` तब ,
`int(dx)/(sqrt((x+1)^(2)+(sqrt3)^(2)))=(1)/(sqrt3).int(dt)/(sqrt(t^(2)+(sqrt3)^(2)))`
`=(1)/(sqrt3)log[t+sqrt(t^(2)+3)]+c`
`=(1)/(sqrt3)log[(x+1)+sqrt(x^(2)+2x+4)]+c`


Discussion

No Comment Found

Related InterviewSolutions