`intlog(sec^-1x)/(xsqrt(x^2-1))dx`

int 1/(xsqrt(x^4-1))dx

int (1)/(xsqrt(x))dx

xsqrt(1+2x^(2))

int(x^2-1)/(xsqrt(1+x^4)) dx

int(x^2-1)/(xsqrt(x^4+3x^2+1) dx is equal to

intlog(1-x^2)dx

intlog(1+x)/x^2dx

intlog(1+x)/x^2dx

Evaluate: int1/(xsqrt(x^2-1))dx

If y=tan^(-1)sqrt((x+1)/(x-1)),t h e n(dy)/(dx)i s (a) (-1)/(2|x|sqrt(x^2-1)) (b) (-1)/(2xsqrt(x^2-1)) (c) 1/(2xsqrt(x^2-1)) (d) none of these