10 ∫ x3earcsin(x)
  -√--------dx
     1 − x2



optimal
PIC

           -------       -------
-1(x3 − 3 √1 − x2x2 − 3 √1 − x2 + 3x )esin−1(x)
10



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^3*exp(asin(x))/sqrt(1-x^2),x)')  
 
int((x^3*exp(asin(x)))/(1 - x^2)^(1/2), x)



xcas

PIC