2 ∫  xarcsin(x)
   -√------2-dx
      1 − x



optimal
PIC

    √ -------
x −   1 − x2sin−1(x)



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(x*asin(x)/sqrt(1-x^2),x)')  
 
int((x*asin(x))/(1 - x^2)^(1/2), x)



xcas

PIC