1.

int(dx)/(x+sqrt(x-1))=

Answer»

`log_e|x+sqrt(x-1)|-1/SQRT3 tan^-1((2sqrt(x-1)+1)/sqrt3)+C`
`1/sqrt3log_e|x+sqrt(x-1)|- tan^-1((2sqrt(x-1)+1)/sqrt3)+c`
`2/sqrt3log_e|x+sqrt(x-1)|- tan^-1((2sqrt(x-1)+1)/sqrt3)+c`
`log_e|x+sqrt(x-1)|-2/sqrt3 tan^-1((2sqrt(x-1)+1)/sqrt3)+c`

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