I found some wrong integration

[Bb Yu]

The problem from MIT integration bee 2006

integrate( ((  x**(-Rational(1,2)  )   )  /   (1+x**(Rational(1,3))  )   )   )  

Answer of sympy:   

6*x**(1/6) + 6*atan(x**(-1/6))

MIT, wolframe alpha, symbolab answer:

6 * x**(Rational(1,6)) - 6 *atan(x**(Rational(1,6))) 

[Kalevi Suominen]

Both answers are correct. They only differ by a constant as atan(1/x**(1/6)) is equal to  π/2 - atan(x**(1/6)).

Kalevi Suominen