`int log(x+1)/(sqrt(x+1)) dx`

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int "log " sqrt(x + 1 ) dx =

int log (x+sqrt(x^(2)-1))dx=

int log sqrt(x+1)dx=

int_-1^1 log(x+sqrt(x^2+1))dx

int(log sqrt(x+1))/((x+1))dx

If int_(log2)^(x) (1)/(sqrt(e^(x)-1))dx=(pi)/(6) then x is equal to

int_(-a)^(a) log (x+ sqrt(x^(2) + 1 ) ) dx