integral(x*sqrt((-9)-x^2)) wrong (extra minus sign)

[murkle]

Algebrite input = integral(x*sqrt((-9)-x^2))
Algebrite output = -1/3 (-x^6 - 27 x^4 - 243 x^2 - 729)^(1/2)
js giac  input:evalfa(regroup(integrate((x)*(sqrt((-(9))-((x)^(2)))),x)))
js giac output:-1/3*sqrt(-x^2-9)*(-x^2-9)+c_24

Algebrite's answer differentiates to ((-x) * sqrt((-x^(2)) - 9)) rather than (x * sqrt((-x^(2)) - 9))

(I think... please check :smile: )