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))) 

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