int(dx)/(xsqrt(x^(6)-1))=?`A. `(1)/(3)sec^(-1)x^(3)+C`B. `(1)/(3)"cosec"^(-1)x^(3)+C`C. `(1)/(3)cot^(-1)x^(3)+C`D. none of these

int(dx)/(xsqrt(x^(6)-1))=?`A. `(1)/(3)sec^(-1)x^(3)+C`B. `(1)/(3)"cose

1.	int(dx)/(xsqrt(x^(6)-1))=?`A. `(1)/(3)sec^(-1)x^(3)+C`B. `(1)/(3)"cosec"^(-1)x^(3)+C`C. `(1)/(3)cot^(-1)x^(3)+C`D. none of these
Answer» Correct Answer - A `I=int(x^(2))/(x^(3)sqrt(x^(6)-1))dx`. `=(1)/(3)int(dt)/(tsqrt(t^(2)-2))`, where `x^(3)=t` `=(1)/(3)sec^(-1)t+C=(1)/(3)sec^(-1)x^(3)+C`.