integrate dx/x(root x^4-1)
Given dx /(x root(x4 - 1))
Now multiply and divide by x in numerator and denominator we get,
x dx / (x2 root(x4 -1))
Substitute t = x2
dt/dx=2x
dt/2=x dx
Now put this value ,
=1/2 dt/(t root(t2 -1)
= 1/2 sec-1(t) + C
= 1/2 sec-1 (x2) +C