The value of int("lnt"|x|)/(xsqrt(1+ln|x...

The value of `int("lnt"|x|)/(xsqrt(1+ln|x|)`dx equals:

`2/3sqrt((1+ln|x|)("ln|x|-2))+C`

`2/3sqrt((1+"ln"|x|)(ln|x|+2))+C`

`1/2sqrt((1+ln|x|)(ln|x|-2))+C`

`2sqrt(1+ln|x|(3ln|x|=2)+C`

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The correct Answer is:

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The value of int(dx)/(xsqrt(x^(4)-1)) is

`1/2sec^(-1)x^(2)+c`

`logxsqrt(x^(4)-1)+c`

`xlogsqrt(x^(4)-1)+c`

`logsqrt(x^(4)-1)+c`

`1/3ln |(sqrt(1-x^(2))-1)/(sqrt(1-x^(2))+1)|+C`

`1/2"ln"|(sqrt(1-x^(2))+1)/(sqrt(1-x^(2))-1)|+C`

`1/3ln|1/sqrt(1-x^(3))|+C`

`1/3ln|1-x^(3)|+C`

`-(1/2)x^(-1//2) +c`

`-2x^(-1//2) +c`

`-1x^(-1//2) +c`

`-1/3.x^(-1//2) +c`