What is
`log(a+sqrt(a^(2)+1))+log((1)/(a+sqrt(a^(2)+1)))` equal to?

What is log(a+sqrt(a^(2)+1))+log((1)/(a+sqrt(a^(2)+1))) is equal to ?

log((sqrt2-1)/(sqrt2+1))

int(log (x+sqrt(1+x^(2))))/(sqrt(1+x^(2)) )dx is equal to

int x(ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx equals

If x=(1)/(2)(sqrt(7)+(1)/(sqrt(7))) ,then , log_(27)((sqrt(x^(2)-1))/(x-sqrt(x^(2)-1))) is equal to

log_((sqrt(2)+1))(sqrt(2)-1)=

Prove that log{a+sqrt(a^2+1)}=-log{sqrt(a^2+1)-a}

y=sqrt(x^(2)+1)-log((1)/(x)+sqrt(1+(1)/(x^(2)))), find (dy)/(dx)

int(sqrt(x^(2)+1)[log(x^(2)+1)-2logx])/(x^(4)) dx is equal to

which of the following are positive and negative: (i) log _(sqrt(3))sqrt(2) (ii) log_(4)((sqrt(2)+1)/(sqrt(2)-1))