fun integral (1 Viewer)

[Dumbledore]

fun integral:

integral{dx/[x+sqrt(x^2-2)]}

 

[lychnobity]

Try multiplying top and bottom by the conjugate of the bottom

 

[Kurwa]

1) multiply by x-sqrt(x^2-2)/x-sqrt(x^2-2)
2) simplify
3) seperate integral i.e x/2 and - sqrt(x^2-2)/2
4) integerate direct for x/2 but use x=sqrt2sin@ using subsitution
5) integerate properly and return all function back to x using triangle =]
6) $$$$

 

[Drongoski]

 

[Dumbledore]

ahh got it now ty guys, substitution of sin wouldn't work though, used parts

 

[GUSSSSSSSSSSSSS]

u can substitute x = sqrt2 . sec@ instead of doing it by parts, save urself a few lines working xD