uh i did it differently
i let u = (1+x^2)^1/2
and then after a few linese of working out , i got
2/(u-1)(u+1)
and had to use partial fractions
can anyone confirm if this way is correct as well
in the end i got something like
-ln3 - ln(2^1/2-1) + ln(2^1/2 +1)