1.

`int(1)/((x-1)sqrt(x^(2)-1))dx` equalsA. `-sqrt((x-1)/(x+1))+C`B. `sqrt((x-1)/(x+1))+C`C. `sqrt((x+1)/(x-1))+C`D. `-sqrt((x+1)/(x-1))+C`

Answer» Correct Answer - d
Let `I=int(1)/((x-1)sqrt(x^(2))-1)dx=int(1)/((x-1)^(3//2)sqrt(x+1))dx`
`rArrI=int((x+1)/(x-1))^(3//2)(1)/((x+1)^(2))dx=(1)/(2)int((x-1)/(x+1))^(-3//2)d((x-1)/(x+1))`
`rArrI=-((x-1)/(x+1))^(-1//2)+C=-sqrt((x+1)/(x-1))+C`


Discussion

No Comment Found

Related InterviewSolutions