4 ∫
     (     √ -----2)
  ln  1 + x  1 + x   dx



optimal
PIC

     (√ -------    )   ∘ --(---√---)      (∘ √------ (√ -------   ))   ∘ --(√------)       ( ∘ ----√--(√ -------   ))
x log    x2 + 1x + 1  +   2  1 +  5  tan−1      5 − 2    x2 + 1 + x   −   2    5 − 1 tanh −1    2 +   5   x2 + 1 + x   − 2x



M 9.01

PIC



Rubi 4.1

PIC



Maple 18

PIC



Sage 5.4

PIC



Fricas 1.2

PIC



sympy 0.7.1

PIC



Axiom 5/12

PIC



Maxima 5.28.02

PIC



reduce 2008

PIC



mupad 2013a

evalin(symengine,'int(log(1+x*sqrt(1+x^2)),x)')

result in mupad_4.txt



xcas

PIC